163652
AssignmentMultiple Choice

The Multiplication Rule for Independent Events

Question 163652 • PISD-Statistics B 4th GP

Grace rolls a fair, 6-sided die 50 times.What is the probability that she rolls at least one 6?Round your answer to 4 decimal places.

Answer
A
0.0001
B
0.1389
C
0.3333
D
0.9999

Explanation

It is easier to find the probability of rolling no 6s, then subtract from 1. The chance of no 6 on one roll is 5/6, so on all 50 rolls it is (5/6)^50. Thus, the chance of at least one 6 is 1 − (5/6)^50 ≈ 0.9999, which is choice D, 0.9999.

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