A student is taking two courses history and math The probabi

A student is taking two courses, history and math. The probability the student will pass the history course is 0.6 and probability of passing the math course is 0.7. The probability of passing both is 0.5. What is the probability of passing at least one?

Solution

Let A be FOR HISTORY
Let B be FOR MATH
FORMULA WHICH WILL BE USED = P(A OR B) = P(A)+P(B) - P( A AND B)
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.6 + 0.7 - 0.5
P(A or B) = 0.8

HENCE ANSWER = 0.8