a survey on healthy choices was given to gym members at work it out. the results

showed that 90% of its members drank protein shakes. of the members who drank

protein shakes, 30% took weight-loss medication whereas only 10% of members

who did not drink protein shakes took weight-loss medication. what is the

probability that a gym member does not take weight-loss medication?

1) 0.28

2) 0.66

3) 0.63

4) 0.72

The correct option is 4) 0.72.

Step-by-step explanation:

Consider the provided information.

Let us consider that there are 100 members.

(Note: you can take any number the answer will remain the same.)

90% of its members drank protein shakes and of the members who drank  protein shakes.

90% of 100 is 90.

Thus, 90 members drank protein shake.

Of the members who drank   protein shakes, 30% took weight-loss medication.

30% of 90 is 27.

That means 27 out of 90 took weight loss medication.

Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.

Only 10% of members  who did not drink protein shakes took weight-loss medication.

10% of 10 is 1, that means 1 member out of 10 took weight loss medication.

Thus the required table is:

                                        Medication   Not Medication      Total

Drank shakes                       27                   63                      90

Doesn't Drank shakes          1                      9                        10

Total                                      28                   72                     100

Now we need to find the probability that a gym member does not take weight-loss medication.

72 out of 100 members does not take weight-loss medication.

Therefore, the required probability is:

Hence, the correct option is 4) 0.72.

step-by-step explanation:

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