A box 'A' contanis 2 white, 3 red and | vedclass

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Question

Probability of drawing a whiteball and then a red ball from bag $B$ is given by

$\,\frac{{^4{C_1} 	imes {\,^2}{C_1}}}{{{\,^9}{C_{  2}}}} = \f

Vedclass · Accepted Answer

$\frac{7}{{16}}$

Vedclass · Answer

Probability of drawing a whiteball and then a red ball from bag $B$ is given by

$\,\frac{{^4{C_1} 	imes {\,^2}{C_1}}}{{{\,^9}{C_{  2}}}} = \frac{2}{9}$

Probability of drawing a whiteball and then a red ball frombag $A$ is given by

$\,\frac{{^2{C_1} 	imes {\,^3}{C_1}}}{{{\,^7}{C_{  2}}}} = \frac{2}{7}$

Hence, the probability of drawing a white ball and then a red ball from bag $B$

$=\frac{\frac{2}{9}}{\frac{2}{7}+\frac{2}{9}}=\frac{2 	imes 7}{18+14}=\frac{7}{16}$

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