Consider a political discussion group consisting of 9 Democrats, 7 Republicans,

Question

Consider a political discussion group consisting of 9 Democrats, 7 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Republican. Consider a political discussion group consisting of 9 Democrats, 7 Republicans, and 6 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Republican.

Explanation / Answer

There are 9+7+6 = 22 persons in total.

Probability of selecting an Independent = 6/22

Now, there are 21 persons left out of which there are 7 Republicans.

Probability of selecting a Republican now = 7/21

Since, both these events are independent, we can use the multiplication rule of probability.

Hence, probability of selecting an Independent and then a Republican = (6/22) * (7/21) = 1/11 = 0.09 Answer

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