Box I contains 4 red and 8 blue marbles while box II contains 5 red and...

Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed – whose probability of turning up heads is 40%. If the coin comes up heads box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II.

Suppose after the first marble is chosen – the experiment is repeated.

Assume the first marble is NOT put back into its box. The coin is flipped again and another marble is chosen from either box I or box II.

What is the probability that the second marble has the same color as the first marble?

Expert Solution

To calculate the required probability we will use law of total probability.

orchestra answered 2 years ago

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