A student was selected at random from the social class. Calculate the probability that the student select was:- a man but did not wear I can't reach down " trouser ??

To calculate the probability that the student selected was a man but did not wear "I can't reach down" trousers, we need to know the total number of students in the social class, the number of men in the class, and the number of men who do not wear "I can't reach down" trousers.

Let's say there are 100 students in the social class, 60 of whom are men and 30 of the men do not wear "I can't reach down" trousers.

The probability that the student selected was a man but did not wear "I can't reach down" trousers is:

(Number of men who do not wear "I can't reach down" trousers) / (Total number of students)
= 30 / 100
= 0.3

Therefore, the probability that the student selected was a man but did not wear "I can't reach down" trousers is 0.3 or 30%.

Let's assume that:

- M: The event that the student is a man.
- W: The event that the student is wearing I can't reach down trousers.

We are given that the student was selected at random from the social class. Therefore, the probability that the student is a man is:

```
P(M) = 0.5
```

We are also given that the student did not wear I can't reach down trousers. Therefore, the probability that the student is not wearing I can't reach down trousers is:

```
P(W') = 1 - P(W) = 1 - 0.3 = 0.7
```

The probability that the student is a man but did not wear I can't reach down trousers is:

```
P(M ∩ W') = P(M) - P(W') = 0.5 - 0.7 = 0.35
```

Therefore, the probability that the student select was a man but did not wear I can't reach down trousers is 0.35.