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Two people are selected at random from a group of 12 Republicans and 10 Democrats. Find the probability that(a) both are Democrats.(b) one is a Republican and one is a Democrat.

Sagot :

So recalculating this would result in 17 and 12 now, which is 0.251 for one Republican and one Democrat.

The odds of both becoming Democrats are 17/29 times 16/28. The odds of being a Democrat and a Republican at the same time are 17/29 times 12/28, which we will round to three decimal places. Mhm. Forgive me. Okay, so recalculating this would result in 17 and 12 now, which is 0.251 for one Republican and one Democrat.

The joint probability mass distribution function calculates each outcome's likelihood individually by taking into account all potential combinations of results from the random variables under consideration. The range of potential values or outcomes is discrete whenever we are working with probability mass functions.

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