Question

The tree diagram below shows all of the possible outcomes for flipping three coins.

A tree diagram has outcomes (H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).

What is the probability of one of the coins landing on tails and two of them landing on heads?
One-fourth
StartFraction 3 over 8 EndFraction
One-half
Three-fourths

Answer 1

There are 8 equally likely outcomes. Exactly two heads (and one tail) occur in 3 outcomes: (H,H,T), (H,T,H), (T,H,H). So the probability is 3/8.