Two number cubes are rolled, one after the other. each number cube lands on a digit, 1-6. let event a be that the first number cube lands on an odd number. let event b be that the sum of the rolls of both number cubes is greater than 8. what is the exact value of p (a|b)

Question

Ricardo Carrillo

Mathematics

16 December, 20:36

Two number cubes are rolled, one after the other. each number cube lands on a digit, 1-6. let event a be that the first number cube lands on an odd number. let event b be that the sum of the rolls of both number cubes is greater than 8. what is the exact value of p (a|b)

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Scott Noble · Answer 1

The probability is 2/5 or 40%.

First, there are 10 different rolls that have a sum that is greater than 8.

Second, only 4 of them start with an odd number.

3 - 6

5 - 4

5 - 5

5 - 6

So the probability is 4 out of 10 or 2/5.