a. If a coin is tossed three times, how many different outcomes are possible? b.

Question

a. If a coin is tossed three times, how many different outcomes are possible? b. If a six-sided die is tossed three times, how many different outcomes are possible? c. Discuss the differences in your answers to (a) and (b). a. There are different outcomes (Type a whole number.) b. There aredifferent outcomes. Type a whole number.) c. Discuss the differences in your answers to (a) and (b). Choose the correct answer below. O A. The outcomes in (a) are not mutually exclusive or collectively exhaustive, while the outcomes in (b) are mutually exclusive and collectively exhaustive. O B. There are two mutually exclusive and collectively exhaustive outcomes in (a) and six in (b). ° C. The outcomes in (a) are mutually exclusive, while the outcomes in (b) are collectively exhaustive. O D. The outcomes in (a) are collectively exhaustive, while the outcomes in (b) are mutually exclusive.

Explanation / Answer

Solution:-

a. There are 8 different outcomes.

=> when a coin is tossed 3 times, the number of possible outcomes
= 2 x 2 x 2 = 8

(The possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT )

b. There are 216 different outcomes

=> 6*6*6 = 216

c. option B.

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