Question

Given that, in a certain school, the following are true, what is the probability that a student is taking math or computer science?

1. The probability that a student is taking math is 33%.
2. The probability that a student is taking computer science is 62%.
3. The probability that a student is taking math and computer science is 58%.

Answer 1

The probability that a student is taking math or computer science is 0.37

Explanation:

The probability that a student is taking math =P(M)=33% =0.33

The probability that a student is taking computer science =P(C)= 62%=0.62

The probability that a student is taking math and computer science =P(M∩C)= 58%=0.58

So, the probability that a student is taking math or computer science i.e.P(M∪C)

So, Formula:P(A∪B)=P(A)+P(B)-P(A∩B)

P(M∪C)=P(M)+P(C)-P(M∩C)

P(M∪C)=0.33+0.62-0.58

P(M∪C)=0.37

Hence the probability that a student is taking math or computer science is 0.37