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.

Question

3 years ago

5

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

1 answer:

kaheart [24] · Answer 1 · 2022-05-24T00:52:05+03:00

Answer:

Option C) 0.67

Step-by-step 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:

$P(S|M) = \dfrac{P(M\cap S)}{P(M)} = \dfrac{0.20}{0.30} = 0.67$

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