4 Suppose you play a matching coins game with your friend wh

4. Suppose you play a matching coins game with your friend, where you and your friend each Suppose you play a matching coins ga flip a coin. If sides match, you WIN; however, if sides do flip a coin. If sides match, you WIN; however, if sides do not match, then you LOSE to your friend

Solution

c)

P(win) = P(both heads) + P(both tails)

= 0.75*0.75 + (1-0.75)*(1-0.75) = 0.625 [ANSWER]

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d)

P(both heads|win) = P(both heads) / P(win)

= 0.75*0.75 / 0.625

= 0.9 [ANSWER]