your friend, jamie, rolled a number cube and got the number 5. on his next turn, he says he wont be able to…

your friend, jamie, rolled a number cube and got the number 5. on his next turn, he says he wont be able to roll another 5 because he is only expected to roll a 5 once every six rolls. is your friend correct? explain your answer.

your friend, jamie, rolled a number cube and got the number 5. on his next turn, he says he wont be able to roll another 5 because he is only expected to roll a 5 once every six rolls. is your friend correct? explain your answer.

Answer

Explanation:

Step1: Understand probability concept

Each roll of a number - cube is an independent event.

Step2: Analyze probability of rolling a 5

A standard number cube has 6 faces numbered 1 - 6. The probability of rolling a 5 on any single roll is $\frac{1}{6}$. Just because the expected number of times to roll a 5 is once every 6 rolls on average, it doesn't mean that after rolling a 5, it can't be rolled again on the next turn.

Answer:

No, your friend is not correct. Each roll of the number - cube is an independent event, and the probability of rolling a 5 on any single roll is $\frac{1}{6}$, regardless of previous rolls.