There is a 60% that your math teacher will give a pop quiz tonight and, due to the fact that you have a soccer game, there is an 85% chance you will not be able to do your math homework.

You decide that you will do the homework if the probability of there being a pop quiz and your not doing your homework is greater than 60%.

What do you do and why?

Its .51

a) do your homework as the probability is 0.51

B)do your homework as the probability is 0.34

C)do not do your homework as the probability is 0.51

D)do not do your homework as the probability is 0.34

A?

There is a 60% that your math teacher will give a pop quiz tonight and due to the fact that you have a soccer game there is a 85% chance you will not be able to do your math homework.

You decide that you will not do the homework if the probability of there not being a pop quiz and you do your homework is greater than 5%.

its 0.06

What do you do and why?

A)do your homework as the probability is 0.51

B)do your homework as the probability is 0.06

C)do not do your homework as the probability is 0.51

D)do not do your homework as the probability is 0.06

Please help

Its c

To solve these problems, we need to calculate the probabilities involved and compare them to the given conditions. Let's break it down step by step for both scenarios.

Scenario 1:
Given: Probability of a pop quiz = 60%, Probability of not doing homework = 85%
Condition: Probability of a pop quiz and not doing homework > 60%

To solve this, we need to calculate the probability of a pop quiz and not doing homework:
Probability of a pop quiz and not doing homework = Probability of a pop quiz × Probability of not doing homework
= 60% × 85%
= 0.6 × 0.85
= 0.51

Since the calculated probability is 0.51, which is greater than 60%, the decision would be to do your homework. Therefore, the answer is A) Do your homework as the probability is 0.51.

Scenario 2:
Given: Probability of no pop quiz = 100% - 60% (complement of the pop quiz), Probability of doing homework = 100% - 85% (complement of not doing homework)
Condition: Probability of no pop quiz and doing homework > 5%

To solve this, we need to calculate the probability of no pop quiz and doing homework:
Probability of no pop quiz and doing homework = Probability of no pop quiz × Probability of doing homework
= (100% - 60%) × (100% - 85%)
= 40% × 15%
= 0.4 × 0.15
= 0.06

Since the calculated probability is 0.06, which is greater than 5%, the decision would be to do your homework. Therefore, the answer is B) Do your homework as the probability is 0.06.

Hope this helps!