Mason rolls a

10
-sided number cube that represent the numbers
1
through
10
. He then rolls the number cube again. What is the probability that he rolls a number greater than
7
on his first roll and a multiple of
5
on his second roll?

1 answer

First, let's calculate the total possible outcomes when rolling a 10-sided number cube: 10.

Next, let's determine the favorable outcomes for rolling a number greater than 7 on the first roll: 3 (8, 9, 10).

Then, let's determine the favorable outcomes for rolling a multiple of 5 on the second roll: 2 (5, 10).

To find the probability of both events happening, we multiply the probabilities: (3/10) * (2/10) = 6/100 = 3/50.

Therefore, the probability that Mason rolls a number greater than 7 on his first roll and a multiple of 5 on his second roll is 3/50 or 0.06.