# 11.4.1. Calculating Probability

The probability that Adam succeeding mathematics is 0.33, the probability of him failing Physics is 0.32, and the probability of him succeeding in one of them at least is 0.71. Find the probability that Adam succeeding ONLY one of the two subjects.

- A0.41
- B0.29
- C0.7
- D0.3

### Example

The probability that Adam succeeding mathematics is 0.33, the probability of him failing Physics is 0.32, and the probability of him succeeding in one of them at least is 0.71. Find the probability that Adam succeeding ONLY one of the two subjects.

### Solution

In this case, event

The notation

The probability of only one of the two events

Thus, the probability of Adam succeeding in only one of the two subjects is 0.41.