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Sliva [168]
3 years ago
12

A fair 6-sided die is rolled 4 times and the resulting sequence of 4 numbers is recorded. How many different sequences consist e

ntirely of even numbers
Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

81

Step-by-step explanation:

Rolling 6-sided fair die you can throw out three even numbers: 2, 4, 6.

If a fair 6-sided die is rolled 4 times, then each of 4 times each of three even numbers can be thrown out. Then the number of different sequences that consist entirely of even numbers is

3\cdot 3\cdot 3\cdot 3=3^4=81.

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