Suppose 60% of a group of American citizens is registered to vote and of those r
ID: 3322148 • Letter: S
Question
Suppose 60% of a group of American citizens is registered to vote and of those registered, 85% voted in the last presidential election. What is the probability a randomly selected citizen is both registered to vote and voted in the last presidential election? Suppose 60% of a group of American citizens is registered to vote and of those registered, 85% voted in the last presidential election. What is the probability a randomly selected citizen is both registered to vote and voted in the last presidential election?Explanation / Answer
Probability that a citizen has registered to vote P(registered) = 0.6.
Probability that a registered citizen voted in last election P(voted|registered) = 0.85.
=> Probability that a citizen is both registered to vote and voted in the last presidential election
P(voted and registered) = P(voted|registered) * P(registered) according to Baye's law
= 0.6 * 0.85
= 0.51.
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