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

Question

Men and women were surveyed regarding their favorite leisure sport, as shown below. All questions pertain to this two-way frequency table.

\begin{array}{ccc} Leisure Sport & Golf & Tennis & Skiing & Total \\ Men & 32 & 21 & 30 & 83 \\ Women & 35 & 30 & 26 & 91 \\ Total & 67 & 51 & 56 & 174 \end{array}

Find P(men) \cdot P(skiing) .

(Choose a numbered choice from the list below.)

1) \frac{83}{174}

2) \frac{56}{174} 4

3) \frac{4648}{174}

4) \frac{4648}{174^{2}}

Answer 1

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 $P(men) = \frac{83}{174}$ From the table we see that total 56 people are skiing. So the probability of skiing is
$P(Skiing) = \frac{56}{174}$
Step 2
Plugging the probabilities in the given expression we get:
$P(men) \cdot P(skiing)$
$= \frac{83}{174} \times \frac{56}{174}$
$= \frac{4648}{174^{2}}$

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

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

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