Question

During a recent sporting event, a quarter is tossed to determine which team picks the starting side. Suppose the referee says the coin will be tossed 3 times and the best 2 out of three wins. If team A calls ‘heads’, what is the probability that exactly 2 heads are observed in three tosses?

Answer 1

3/8

Explanation:

The coin has only two possibilities: heads(H) or tails(T), so the probabilities to three tosses are:

TTT

TTH

THT

THH

HTT

HTH

HHT

HHH

So, there are 8 possibilities, and in 3 of them are exactly 2 heads. The probability is the events we want divided by the total possibles events, then it is 3/8.