Q. 9

# A box contains 2 gold and 3 silver coins. Another box contains 3 gold and 3 silver coins. A box is chosen at random, and a coin is drawn from it. If the selected coin is a gold coin, find the probability that it was drawn from the second box.

Answer :

Let G : Gold coins

S : Siler coins

A : 1^{st} box

B : 2^{nd} box

Assuming, selecting bags is of equal probability i.e.

We want to find P(B|G), i.e. probability of selected gold coin is from the 2^{nd} box

Conclusion: Therefore, the probability of selected gold coin is from the 2^{nd} box is

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PREVIOUSThere are two I and II. The bag I contains 3 white and 4 black balls, and bag II contains 5 white and 6 black balls. One ball is drawn at random from one of the bags and is found to be white. Find the probability that it was drawn from the bag I.NEXTThree urns A, B and C contains 6 red and 4 white; 2 red and 6 white; and 1 red and 5 white balls respectively. An urn is chosen at random, and a ball is drawn. If the ball drawn is found to be red, find the probability that the balls was drawn from the first urn A.

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