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

a)

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

=0.5*0.5 + (1-0.5)*(1-0.5)

= 0.5 [ANSWER]

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b)

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

=0.5*0.75 + (1-0.5)*(1-0.75)

= 0.5 [ANSWER]