Question

Plz help

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%. 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

Answer 1

We are given with
P(pop quiz) = 60%
P(not do homework) = 85%

And the condition that
P (pop quiz and do homework) > 5%

So,
P (pop quiz) x P (do homework)
P (pop quiz) x ( 1 - P (not do homework) )
60% x ( 1 - 85%)

The result is greater than five percent so he will not do his homework.