Amara is flipping a coin that she believes is fair. But every time she flips it, it lands on heads!
(a)
Assuming the coin is fair, find the probability that Amara flips 5 heads in a row.
Solution:
Think about it one flip at a time. A fair coin has a 1/2 chance of landing heads. To get 2 heads in a row, both flips must be heads, so we take half of a half. Keep that idea going: each extra required head halves the chance again.
Amara is flipping a coin that she believes is fair. But every time she flips it, it lands on heads!
(a)
Assuming the coin is fair, find the probability that Amara flips 5 heads in a row.
Solution:
Think about it one flip at a time. A fair coin has a 1/2 chance of landing heads. To get 2 heads in a row, both flips must be heads, so we take half of a half. Keep that idea going: each extra required head halves the chance again.