Designing Experiment Clinical trials of Nasonex involved a group given placebos and another group given treatments of Nasonex. Assume that a preliminary phase I trial is to be conducted with 12 subjects, including 6 men and 6 women. If 6 of the 12 subjects are randomly selected for the treatment group, find the probability of getting 6 subjects of the same gender. Would there be a problem with having members of the treatment group all of the same gender?

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Asked Jan 11, 2020
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Designing Experiment Clinical trials of Nasonex involved a group given placebos and another group given treatments of Nasonex. Assume that a preliminary phase I trial is to be conducted with 12 subjects, including 6 men and 6 women. If 6 of the 12 subjects are randomly selected for the treatment group, find the probability of getting 6 subjects of the same gender. Would there be a problem with having members of the treatment group all of the same gender?

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Step 1

Combination Rule:

There are n different items and r number of selections and the selections are made without replacement, then the number of different combinations (order does not matter counts) is given by,

Step 2

In the selection, there are 12 subjects and 6 randomly selected subjects. That is, n=12 and r=6.

Substitute 12 for ‘n’ and 6 for ‘r’, then the number of different possible combinations are:

Step 3

The number of different possible combinations is 924.

Obtain the probabili...

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