Tanja and Larissa play with three coins. Both toss all three coins at the same time 80 times. Tanja gets a point if there are exactly two heads and Larissa gets a point if there is exactly one head. What score can each girl expect after 80 throws?

Question

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Tanja and Larissa play with three coins. Both toss all three coins at the same time 80 times. Tanja gets a point if there are exactly two heads and Larissa gets a point if there is exactly one head.
What score can each girl expect after 80 throws?

Answer 1

You expect to get 2 heads just as often as you expect to get 1 head (since getting 1 head is the same thing as getting 2 tails)

For a single round, what's the probability of getting 2 heads?

Then the expected score for each one is P(2 heads) * 80

Answer 2

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