P(E) | = | total # outcomes |
By part (a), the tiotal number of outcomes is 1,440. To calculate the number of favorable outcomes, we use
Step1: | Choose the matching pair numbers on the dice | 6 possible outcomes |
Step2: | Choose heads for the coin toss. | 1 possible outcome |
Step3: | Choose the 2 lime bears and one non-lime one | C(2,2) C(4,1) = 14 = 4 possible outcomes |
Thus, by the mulitplication principle, the total number of favorable outcomes is 6 1 4 = 24.
Putting this all together gives
P(E) | = | total # outcomes |
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