1 bag contains 4 white and 2 black balls. Ano | vedclass

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Question

(A) Let $E_1$ be the event of drawing a black ball from the first bag.Total balls in the first bag $= 4 + 2 = 6$.Number of black balls in the first ba

Vedclass · Accepted Answer

$\frac{5}{24}$

Vedclass · Answer

(A) Let $E_1$ be the event of drawing a black ball from the first bag.Total balls in the first bag $= 4 + 2 = 6$.Number of black balls in the first bag $= 2$.$P(E_1) = \frac{2}{6} = \frac{1}{3}$.Let $E_2$ be the event of drawing a black ball from the second bag.Total balls in the second bag $= 3 + 5 = 8$.Number of black balls in the second bag $= 5$.$P(E_2) = \frac{5}{8}$.Since the events are independent,the probability that both balls are black is $P(E_1 \cap E_2) = P(E_1) 	imes P(E_2)$.$P(E_1 \cap E_2) = \frac{1}{3} 	imes \frac{5}{8} = \frac{5}{24}$.

$1$ bag contains $4$ white and $2$ black balls. Another bag contains $3$ white and $5$ black balls. If $1$ ball is drawn from each bag,find the probability that both balls are black.

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