Question

Drake rolls two fair number cubes.

2 3 4 5 6
2 4 6 8 10 12
3 6 9 12 15 18
4 8 12 16 20 24
5 10 15 20 25 30
6 12 18 24 30 36

What is the probability that the product of the two numbers Drake rolls is less than 10? Enter your answer as a fraction in simplest form.


The probability that the product is less than 10 is?

Answer 1

The probability that the product of 2 numbers that Drake rolls is less than =
`(17)/(36)`

Explanation:

Drake rolls two fair number cubes i.e. 6 sided die. He then multiplies the numbers shown on each die. The result of the all possible products are shown in the given table. The given table is missing a 1 in the first row. The complete first row will be:

1 2 3 4 5 6

The total number of possible outcomes are 36. We have to find the probability that product of two numbers that Drake rolled is less than 10. For this, first we need to count the number of outcomes that are less than 10. From the table we can see that the number of possible outcomes that are less than 10 are = 17

Probability is defined as the ratio of favorable outcomes to the total number of outcomes. Here, total outcomes are 36 and favorable outcomes are 17.

So,

The probability that the product of 2 numbers that Drake rolls is less than =
`(17)/(36)`