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A box contains 2 gold and 3 silver coins. Another box contains 3 gold and 3 silver coins. A box is chosen at random,

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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. Select the correct answer from above options

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Let G : Gold coins S : Siler coins A : 1st box B : 2nd box Assuming, selecting bags is of equal probability i.e. \(\frac{1}{2}\) We want to find P(B|G), i.e. probability of selected gold coin is from the 2nd box Conclusion: Therefore, the probability of selected gold coin is from the 2nd box is \(\frac{5}{9}\)

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