Step 1

From the table, we see that there are total 83 men.

There are total 174 persons.

So the probability of getting a man \(\text{P(men)}=\frac{83}{174}\) From the table we see that total 56 people are skiing. So the probability of skiing is

\(\text{P(Skiing)}=\frac{56}{174}\)

Step 2

Plugging the probabilities in the given expression we get:

\(\text{P(men)}\cdot\text{P(skiing)}\)

\(=\frac{83}{174} \times \frac{56}{174}\)

\(=\frac{4648}{174^2}\)

Answer: \(4)\frac{4648}{174^2}\)