During an experiment, three coins were tossed once.

Part A: Give the sample space to show all possible outcomes for tossing three coins one time, using the letter H when a coin faces “heads” up, and the letter T when it faces “tails” up.

Part B: Based on your answer to part A, how many outcomes consist of 3 heads or 3 tails?

Part C: During a math class, each of 24 students tossed three coins once. Based on your answer to part B, how many students would you expect to get a result of 3 heads or 3 tails?

Show your work.



Answer :

Part A: HHH, TTT,HTT,HTH,THT,THH,HHT,TTH,
Part B: 2/8 or 1/4
Part C: since 1/4 of the students would get a result of 3 heads or 3 tails, that means 6 students would get that result.

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