A red and a blue die are thrown. Both dice are fair. The events A, B, and C are defined as follows: A: The sum on the two dice is even
B: The sum on the two dice is at least 10
C. The red die comes up 5

Question

10-12-2022
Mathematics

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A red and a blue die are thrown. Both dice are fair. The events A, B, and C are defined as follows: A: The sum on the two dice is even
B: The sum on the two dice is at least 10
C. The red die comes up 5

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-16T14:27:06+01:00

The probability of event A occurring is 1/2, the probability of event B occurring is 1/3, and the probability of event C occurring is 1/6.

in order for a sum of two dice to be even, the numbers on the two dice must add up to an even number. The possible combinations of two dice that add up to an even number are (1,3), (3,1), (2,4), (4,2), (5,5). Therefore, the probability of event A occurring is 1/2.

In order for the sum of two dice to be at least 10, the numbers on the two dice must add up to 10, 11, 12. The possible combinations of two dice that add up to 10, 11, 12 are (4,6), (6,4), (5,5), (5,6), (6,5). Therefore, the probability of event B occurring is 1/3.

In order for the red die to come up 5, the number on the other die does not matter. Therefore, the probability of event C occurring is 1/6.

Learn more about probability here

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A red and a blue die are thrown. Both dice are fair. The events A, B, and C are defined as follows: A: The sum on the two dice is even B: The sum on the two dice is at least 10 C. The red die comes up 5

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Otras preguntas

A red and a blue die are thrown. Both dice are fair. The events A, B, and C are defined as follows: A: The sum on the two dice is even
B: The sum on the two dice is at least 10
C. The red die comes up 5