Question

2. (07.01)

In a city school, 70% of students have math class, 65% have science class, and 45% have math
and science class this semester. What is the probability (rounded to the nearest whole percent)
that a randomly selected student will have science class this semester, given that the student is in
math class? (1 point)
Hint: P(AB)
P(ANB)
P(B)
O 93%
20%
69%

Answer 1

`P(\text{Science}|\text{Math})\approx64\%`

Explanation:

`\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=(0.45)/(0.70)\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%`

None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with