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 two out of three wins If team A calls 'heads', what is the probability that exactly two heads are observed in three tosses?
A).313
B).375
C).625
D).875
E).500

Question

Quizplus · Accepted Answer

The probability of getting exactly two heads in three tosses is calculated by considering the different ways heads can occur in three tosses (HHT, HTH, THH) and the probability of each sequence. The probability of each sequence is (1/2)^3 = 1/8, since each toss is independent. There are 3 such sequences, so the total probability is 3*(1/8) = 3/8 = .375.

During a Recent Sporting Event, a Quarter Is Tossed to Determine