Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The person must have thrown the die 18 times.
Solución
We are told that the probability of rolling a five on a single die is
. This means that on average, one five is expected every 6 rolls. To find the expected number of rolls for 3 fives, we use the idea of expected value.
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.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


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!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium