A child rolls a 6-sided die 6 times. What is

Kamari Simon

Kamari Simon

Answered question

2022-02-13

A child rolls a 6-sided die 6 times. What is the probability of the child rolling exactly three sixes?

Answer & Explanation

Kaylen Campos

Kaylen Campos

Beginner2022-02-14Added 14 answers

Step 1
Assuming the die is fair, on the first roll, the child has a 16 chance of getting any number, including 6. On the next roll, the child has a 136 chance of getting any two numbers, including two 6's. This is because the rolls are independent, so the total possible outcomes multiply each roll with each roll's probability. Since each roll's probability is 16
16×16=136
Finally, the same thing happens again on the third roll, the probabilities multiply once more, so
136×16=1216,
meaning there is a 1216 chance of getting any possible combination of three numbers from 1-6. This includes getting three 6's, therefore the probability of getting three 6's is 1216

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