This question is mean! lo help wilh ine noion of condtionai probability end rand

Question

This question is mean! lo help wilh ine noion of condtionai probability end random varieble notation. Suppose a fair coin is tossed. Define the random ariahle Atn b1 if the outcome is tails and 0 it the outcome Is heads. If Xi 1, toss an unfalr coln where the probablity of getting a tails is 0.4. If X1 D toss the same fair cui. Now deie secornd rand variuble Xs follows. x, = if the outcome of the second coin toss is tails. -i the autcome of the second oin tss is hcads Calculate P(XX1) (round answers to the nearest 4th decimal place If needed)

Explanation / Answer

P(X1 =1 ) = 1/2

P(X2 =0 / X1 =1) = P( X1 = 1 AND X2 = 0) / P (X1 = 1)

= ( 1/2 * 0.6 ) / (1/2)

= 0.6 Answer

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