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A bag contains 2 white and …

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A bag contains 2 white and 1red ball. One ball is drawn at random and then put bach in the box after noting the colour of ball. The process is repeated again . If X denotes the number of red ball recorded in the two draws describe. I have of solution of this question but I don't know why here take white ball as W1 and W2

Posted by Domesh Soni 4 years ago

CBSE > Class 12 > Mathematics

1 answers

Sia ? 3 years, 11 months ago

$\text{Let 2 white ball be denoted by}~ w_1, w_{2}~ \& ~red~ ball~ by~ \mathrm{r}$
Then the sample space is
$\mathrm{S}=\left\{\left(\mathrm{w}_{1}, \mathrm{w}_{1}\right),\left(\mathrm{w}_{2}, \mathrm{w}_{2}\right),\left(\mathrm{w}_{1}, \mathrm{w}_{2}\right)\right. \left(w_{2}, w_{1}\right),\left(r, w_{1}\right),\left(w_{1}, r\right) \left(r, w_{2}\right),\left(w_{2}, r\right) (r, r)\}$
Let X: Number of red balls in two draws
We can see there are 0 red, 1 red, and 2 red balls
$So, X=0~ or ~X=1 ~or~ X=2$

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