Question

3. Suppose there are 2 urns such that the first urn contains a white balls and b black balls and the second urn contains c white balls and d black balls. Flip a coin whose probability of landing heads is p and select a ball from the first urn if the outcome is heads and from the second if the outcome is tails. What is a value for p for which the probability that the outcome was heads given that a white ball was selected is α E (0, 1)? Compute α for a-2, b-7, c-5, d-6 and .6; and given α-4, compute p.

3. Suppose there are 2 urns such that the first urn contains a white balls and b black balls and the second urn contains c white balls and d black balls. Flip a coin whose probability of landing heads is p and select a ball from the first urn if the outcome is heads and from the second if the outcome is tails. What is a value for p for which the probability that the outcome was heads given that a white ball was selected is α ∈ (0, 1)? Compute α for a = 2, b = 7, c = 5, d = 6 and p = .6; and given α = .4, compute p.

Answer 1