Question

Which of the following is a sample space for the experiment of flipping a coin 3 times?

A. {there is at least one head, all flips are the same }
B. { all the flips are heads, there are an odd number of tails }
C. {the last flip is a head, all the flips are tails }
D. {all flips are the same, there is exactly one head, there are exactly two heads }
E. {the first two coin flips are the same, the last two coin flips are different }

Answer 1

The sample space for flipping a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Step-by-step explanation:

The sample space for flipping a coin 3 times is the set of all possible outcomes of the experiment. In this case, since each coin flip can result in either heads (H) or tails (T), there are 2 possible outcomes for each flip. Therefore, the total number of outcomes for flipping a coin 3 times is 2 multiplied by itself 3 times, which is 2^3 = 8. Thus, the sample space for flipping a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.