Question

A group of 200 people who exercise regularly reported the following exercise habits :

5 people run
65 people swim or run
30 people swim and run

If a person from this group is selected at random , what is the probability that the person swims ?

Answer 1

9/20

Explanation:

65 people swim or run

BUT

5 people just run

so

60 people swim or run

+

30 people swim and run

90/200 =

9/20

Answer 2

The value of the probability is 3/20

From the data given ;

The number of people who swim would be ;

• n(Swim u Run) - n(Swim n Run) - n(Run)

Now we have ;

n(swim.only) = 65 - 30 - 5 = 30

P(selecting person that can swim) :

• 30 / total surveyed

We have ;

30/200 = 3/20.

Hence, the probability is 3/20