Answer:
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8.
The probability that she will roll all even numbers is 1/8.
It should be noted that there are 6 numbers in one roll of a dice. Therefore, there are 3 even numbers and 3 odd numbers.
The probability of getting even numbers in one roll will be:
= 3/6 = 1/2
The probability that she will roll all even numbers will be:
= 1/2 × 1/2 × 1/2
= 1/8
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