If a 6-sided number cube is rolled twice, what is the probability that a 1 is rolled both times?
Laker Nation
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
To find the probability of rolling a 1 on a 6-sided number cube twice, we need to determine the total number of possible outcomes and the number of favorable outcomes.
The total number of possible outcomes when rolling a number cube twice is given by the product of the number of outcomes for each roll. Since a 6-sided number cube is rolled twice, each roll has 6 possible outcomes. Therefore, the total number of possible outcomes is 6 x 6 = 36.
Now, let's determine the number of favorable outcomes, i.e., the number of times a 1 is rolled both times. Since there is only one face with a 1 on a standard number cube, the number of favorable outcomes is 1 x 1 = 1.
Finally, to calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes: 1/36.
So, the probability of rolling a 1 both times when rolling a 6-sided number cube twice is 1/36.