Question
The odds of rolling a certain number on a single die is 1 chance in 6 rolls. In the course of a game,
someone rolled 3 fives. According to the odds, how many times must that person have thrown the die?
A 2
someone rolled 3 fives. According to the odds, how many times must that person have thrown the die?
A 2
Ask by Mathis Hamilton. in the United States
Mar 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The person must have thrown the die 18 times.
Solution
We are told that the probability of rolling a five on a single die is
Since one five appears every 6 rolls, 3 fives would be expected to appear in:
Thus, according to the odds, the person must have thrown the die 18 times.
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Simplify this solution Extra Insights
When rolling a die, the odds of rolling any specific number, like a five, are indeed 1 in 6. However, if someone rolled 3 fives, we can use this information to determine how many total rolls there were. Statistically speaking, if they got 3 successful rolls of a five, we can estimate they made about 3 times the average number of rolls expected for that outcome. This would be approximately 3 multiplied by 6, equalling 18 rolls total!
This approach highlights how probabilities can help us deduce outcomes even when the events are random and seemingly unconnected. So next time you’re rolling dice, remember that the more times you roll, the more likely you’re to see the results stacking up in your favor!
