 # Men and women were surveyed regarding their favorite leisure sport, as shown below. All questions pertain to this two-way frequency table. begin{array Aneeka Hunt 2021-02-13 Answered
Men and women were surveyed regarding their favorite leisure sport, as shown below. All questions pertain to this two-way frequency table.

$\text{Find P(men)}\cdot \text{P(skiing)}.$
(Choose a numbered choice from the list below.)
$1\right)\frac{83}{174}$
$2\right)\frac{56}{174}4$
$3\right)\frac{4648}{174}$
$4\right)\frac{4648}{{174}^{2}}$
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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:
$\text{P(men)}\cdot \text{P(skiing)}$
$=\frac{83}{174}×\frac{56}{174}$
$=\frac{4648}{{174}^{2}}$

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