Question

Mason plays a game by flipping two fair coins.He wins the game if both coins land facing heads up. If Mason plays 200 times, how many times should he expect to win? Explain .

Answer 1

Therefore Mason would be expected to win 50 times.

Explanation:

i) probability of flipping a head for a fair coin is
`(1)/(2)`

ii) probability of flipping two fair coins is =
`(1)/(2) * (1)/(2) = (1)/(4)`

iii) Therefore if Mason plays 200 times he would be expected to win

=
`(1)/(4) * 200 = 50\hspace{0.1cm} times.`