Correct option (c) (0.588)
Explanation:
Let E1 be the event of choosing the bag I, E2 the event of choosing the bag II and A be the event of drawing a black ball.
Then, P(E1) = P(E2) = 1/2
Also, P(A|E1 ) = P(drawing a black ball from Bag I) = 4/10 = 2/5
P(A|E2) = P(drawing a black ball from Bag II) = 4/7
By using Bayes’ theorem, the probability of drawing a black ball from bag II out of two bags,