STATISTICS 1530

Question

A number cube with faces labeled 1

 to 6

 is rolled once.

The number rolled will be recorded as the outcome.

Consider the following events.

Event A

: The number rolled is even.

Event B

: The number rolled is less than 4

.

Answer 1

Hi Pam!

I have solved this question in this video. Check it out and let me know if you have any questions. I hope you find it to be helpful. If you have any additional questions, feel free to reach out. Take care!

Dr. Christal-Joy Turner

Answer 2

The probability of an event occurring is calculated by taking the number of favorable outcomes divided by the total number of outcomes. The total possible outcomes of the roll of this cube can be listed like this:

{1, 2, 3, 4, 5 ,6}

P(A) can be calculated by counting the number of favorable outcomes divided by the total number of outcomes. The number of favorable outcomes in this case is 3 because {2, 4, 6} are the even numbers in the possible outcomes list.

P(A) = 3 / 6 = 1/2

P(B) can be calculated by taking 3 divided by 6. There are 3 numbers {1, 2, 3} that are less than 4 in the set of possible outcomes.

P(B) = 3 / 6 = 1/2

Hope this was helpful.