# 11.4.1. Calculating Probability

The probability that a student succeeds in mathematics is 0.72, and the probability that he fails in physics is 0.28, while the probability that he succeeds in one of the two subjects at least is 0.76. Determine the probability that he fails in the two subjects.

- A0.24
- B0.68
- C0.32
- D0.08

### Example

The probability that a student succeeds in mathematics is 0.72, and the probability that he fails in physics is 0.28, while the probability that he succeeds in one of the two subjects at least is 0.76. Determine the probability that he fails in the two subjects.

### Solution

In this case, event

Thus, the probability that the student fails in the two subjects is 0.24.