Question

Suppose the probability of being in honors math is 0.30 and the probability of being in honors math and honors science is 0.20. What is the probability of being in honors science if you are in honors math? a. 0.06 b. 0.5 c. 0.67

Answer 1

Option C) 0.67

Explanation:

We are given the following in the question:

M: Maths honors

S: Science honors

Probability of being in honors math = 0.30

`P(M) = 0.30`

Probability of being in honors math and honors science = 0.20

`P(M\cap S) = 0.20`

We have to find the probability of being in honors science if you are in honors math.

We have to evaluate:

`P(S|M) = (P(M\cap S))/(P(M)) = (0.20)/(0.30) = 0.67`

Thus, 0.67 is the probability of being in honors science if you are in honors math.

Thus, the correct answer is

Option C) 0.67