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Brums [2.3K]
2 years ago
6

A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a

science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?

Mathematics
1 answer:
denis23 [38]2 years ago
7 0

Answer: 0.20

Step-by-step explanation:

As per given :

P(student enrolled in a math class ) = 65% = 0.65

P( student enrolled in a science class) = 43%= 0.43

P( student enrolled in both ) = 13% = 0.13

Formula of conditional probability :

P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}

Using the above formula,

The probability that the student is enrolled in a science class given that he is enrolled in maths class :

P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20

Hence, the probability that the student is also enrolled in a science class =  0.20 .

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