Question

The probability that two students A and B will pass their exam is 0.5 and 0.3, respectively. Find the probability that none will pass.

A) 0.35
B) 0.45
C) 0.15
D) 0.65

Answer 1

The probability that neither student A nor student B will pass their exams is calculated by multiplying the probability of each not passing, leading to a result of 0.35.

Step-by-step explanation:

The question is asking to find the probability that both students A and B will not pass their exams. The probability that student A does not pass is 1 - 0.5 = 0.5, and for student B, it is 1 - 0.3 = 0.7. Since the events of each student passing are assumed to be independent, the probability that both students do not pass can be found by multiplying the individual probabilities together:

P(Not A AND Not B) = P(Not A) × P(Not B) = 0.5 × 0.7 = 0.35.

Therefore, the correct answer is A) 0.35.