{"id":4639,"date":"2016-05-17T11:49:00","date_gmt":"2016-05-17T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-16-1\/"},"modified":"2016-05-17T13:41:43","modified_gmt":"2016-05-17T08:11:43","slug":"ncert-solutions-class-11-maths-exercise-16-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-16-1\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 16.1"},"content":{"rendered":"<p style=\"text-align: justify;\"><strong>Exercise 16.1<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>In each of the following exercises 1 to 7, describe the sample space for the indicated experiment.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>1. A coin is tossed three times.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>S = {HHH, HHT, HTH, THH, TTH, HTT, TTT}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>2. A die is thrown two times.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)<\/p>\n<p style=\"text-align: justify;\">(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)<\/p>\n<p style=\"text-align: justify;\">(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)<\/p>\n<p style=\"text-align: justify;\">(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)<\/p>\n<p style=\"text-align: justify;\">(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)<\/p>\n<p style=\"text-align: justify;\">(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>3. A coin is tossed four times.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>S = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, THHT, HTTH, THTH, TTHH, TTTH,<\/p>\n<p style=\"text-align: justify;\">TTHT, THTT, HTTT, TTTT}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>4. A coin is tossed and a die is thrown.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>When a coin is tossed, then <img decoding=\"async\" style=\"height: 26px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\">When a die is thrown then <img decoding=\"async\" style=\"height: 26px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/>S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>5. A coin is tossed and then a die is rolled only in case a head is shown on the coin.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>When a coin is tossed, then <img decoding=\"async\" style=\"height: 26px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\">When a die is rolled then <img decoding=\"async\" style=\"height: 26px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/>S = {H1, H2, H3, H4, H5, H6, T}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>6. 2 boys and 2 girls are in a Room X and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let <img decoding=\"async\" style=\"height: 24px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image004.png\" \/>denote the boys and <img decoding=\"async\" style=\"height: 24px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image005.png\" \/>girls in room X and B<sub>1<\/sub> denotes the boy and <img decoding=\"async\" style=\"height: 24px; width: 74px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image006.png\" \/>girls in room Y, then<\/p>\n<p style=\"text-align: justify;\"><strong><img decoding=\"async\" style=\"height: 26px; width: 254px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image007.png\" \/><\/strong><\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>7. One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its upper most face is noted. Describe the sample space.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>The three are R, W and B, then <img decoding=\"async\" style=\"height: 26px; width: 110px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image008.png\" \/><\/p>\n<p style=\"text-align: justify;\">A die is rolled then <img decoding=\"async\" style=\"height: 26px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/>S = {R1, R2, R3, R4, R5, R6, W1, W2, W3, W4, W5, W6, B1, B2, B3, B4, B5, B6}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>8. An experiment consists of recording boy-girl composition of families with 2 children.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(i) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) What is the sample space if we are interested in the number of girls in the family?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>There are two children in a family which are to be boys or girls.<\/p>\n<p style=\"text-align: justify;\"><strong>(i)<\/strong> <img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/> S = {BB, BG, GB, GG}<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> When the outcome is BB, then number of girls is 0.<\/p>\n<p style=\"text-align: justify;\">When the outcome is BG, then number of girls is 1.<\/p>\n<p style=\"text-align: justify;\">When the outcome is GB, then number of girls is 1.<\/p>\n<p style=\"text-align: justify;\">When the outcome is GG, then number of girls is 2.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/> S = {0, 1, 2}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>9. A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let the four balls in the box are R, W, W W.<\/p>\n<p style=\"text-align: justify;\">Two balls are drawn without replacement, then S = {RW, WR, WW}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>10. An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>A coin is tossed, then <img decoding=\"async\" style=\"height: 26px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\">A coin is tossed again, then <img decoding=\"async\" style=\"height: 26px; width: 91px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image009.png\" \/><\/p>\n<p style=\"text-align: justify;\">A die is rolled then <img decoding=\"async\" style=\"height: 26px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/> S = {HH, HT, T1, T2, T3, T4, T5, T6}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>11. Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>Let defective bulb be denoted by D and non-defective bulb be denoted by N.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/> S = {DDD, DDN, DND, NDD, DNN, NDN, NND, NNN}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>12. A coin is tossed. If the outcome is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>When a coin is tossed, then <img decoding=\"async\" style=\"height: 26px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\">When the coin shows T, then there is no action.<\/p>\n<p style=\"text-align: justify;\">When the coin shows H, a die is thrown then <img decoding=\"async\" style=\"height: 26px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\">When the die shows {1, 3, 5}, then there is no action.<\/p>\n<p style=\"text-align: justify;\">When the die shows {2, 4, 6}, then a die is thrown again.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/> S = {T, H1, H3, H5, H21, H22, H23, H24, H25, H26, H41, H42, H43, H44, H45, H46, H61,<\/p>\n<p style=\"text-align: justify;\">H62, H63, H64, H65, H66}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>13. The number 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other without replacement. Describe the sample space for the experiment.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>When two slips are drawn from the box without replacement then the sample space is<\/p>\n<p style=\"text-align: justify;\">S = {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>14. An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the numbers on the die is odd, then coin is tossed twice. Write the sample space for this experiment.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>When a die is thrown then S ={1, 2, 3, 4, 5, 6}<\/p>\n<p style=\"text-align: justify;\">When the number on die is {2, 4, 6}<\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>15. A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>When a coin is tossed, then <img decoding=\"async\" style=\"height: 26px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\">When the coin shows T, then draw a ball from a box. <img decoding=\"async\" style=\"height: 26px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image011.png\" \/><\/p>\n<p style=\"text-align: justify;\">When the coin shows H, then a die is thrown then <img decoding=\"async\" style=\"height: 26px; width: 147px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/> <img decoding=\"async\" style=\"height: 26px; width: 401px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image012.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: justify;\"><strong>16. A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>A die is thrown, when 6 comes up in first draw then <img decoding=\"async\" style=\"height: 26px; width: 62px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image013.png\" \/><\/p>\n<p style=\"text-align: justify;\">A die is thrown, when 6 comes up in second draw then <img decoding=\"async\" style=\"height: 24px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image014.png\" \/>= {(1, 6), (2, 6), (3, 6), (4, 6), (5, 6)}<\/p>\n<p style=\"text-align: justify;\">And so on.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch16\/Ex16.1\/image003.png\" \/> S = {(6), (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (1, 2, 6), \u2026\u2026\u2026. (1, 5, 6), (2, 1, 6), \u2026\u2026 (5, 2, 6)\u2026}<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Exercise 16.1 In each of the following exercises 1 to 7, describe the sample space for the indicated experiment. 1. A coin is tossed three times. Ans. S = {HHH, HHT, HTH, THH, TTH, HTT, TTT} 2. A die is thrown two times. Ans. S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, &#8230; <a title=\"NCERT Solutions class-11 Maths Exercise 16.1\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-16-1\/\" aria-label=\"More on NCERT Solutions class-11 Maths Exercise 16.1\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4639","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions class-11 Maths Exercise 16.1 | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-16-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Exercise 16.1 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 16.1 In each of the following exercises 1 to 7, describe the sample space for the indicated experiment. 1. A coin is tossed three times. Ans. S = {HHH, HHT, HTH, THH, TTH, HTT, TTT} 2. A die is thrown two times. Ans. S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, ... 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