if you had a die with the numbers 1,2,3,4,5,6. Expressed as a fraction, what would be the probability of roliing the die 5 times and getting a 2?
To find the probability of rolling a specific outcome on a die, you need to determine the number of favorable outcomes (the number of times you roll a 2) and divide it by the total number of possible outcomes.
In this case, the die has only one 2 on its faces, so there is only one favorable outcome to roll a 2. The total number of possible outcomes when rolling a die is always 6 since the die has six sides.
So, the probability of rolling a 2 on a single roll is 1/6.
To find the probability of rolling a 2 in five consecutive rolls, you need to multiply the probability of rolling a 2 on each roll. Since each roll is independent, you can use the multiplication rule of probabilities.
Probability of rolling a 2 in 5 rolls = (1/6) * (1/6) * (1/6) * (1/6) * (1/6)
Simplifying this expression, we get:
Probability of rolling a 2 in 5 rolls = 1/7776
Therefore, the probability of rolling a 2 on the die five times is 1/7776.