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A card is drawn at random …

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A card is drawn at random from a pack of 52 cards. Find the probability that the cards drawn is: (a) neither a heart nor a king (b) neither an ace nor a king (c) neither a red card nor a queen (d) neither a king nor a queen

Posted by Pihu ✨ 4 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Anu Sharma 4 years, 8 months ago

a) Total no. of cards :- 52 No. of cards that are neither a heart nor a king :- 36 Probability :- 36/52 = 9/13 b) no. of cards that are neither a ace nor a king :- 44 Probability :- 44/52 = 11/13 c) no. of cards that are neither red card nor a king :-24 Probability :-24/52 = 6/13 d) No. of cards that are neither a king nor a queen :- 44/52 = 11/13

Gaurav Seth 4 years, 8 months ago

Total no. of outcomes = 52 {52 cards}

(i) E⟶ neither a heart nor a king
Heart cards = 13
Kings = 3 [Heart king is already included in counting heart cards]

No of favourable outcomes = 52 - 13 - 3 = 36

We know that, P(E) = (No. of favorable outcomes)/(Total no.of possible outcomes) = 36 / 52 = 18 / 26 = 9 / 13

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