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Viki, Internet Researcher

Category: General

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Experience: I have eleven years experience writing statewide educational tests for all levels.

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In one town, 31% of all voters are Democrats. If two voters

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In one town, 31% of all voters are Democrats. If two voters are randomly selected (with replacement) for a survey, find the probability that they are both Democrats.

Express your answer as a decimal rounded to the nearest three decimal places.

Pick the first person and the probability of selecting a Democrat is 31/100. Then the voter is tossed back into the pool of possible candidates for selection. You pick the second voter and the probability is again 31/100. Because you only have to be concerned with the cases in which you picked a Democrat the first time, you multiply the likelihood of getting second Democrat (31/100) by the proportion of the time you selected the first Democrat (31/100)

so, 31/100 x 31/100 = 961/10,000= .0961 or .096 (rounded)

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