SOLUTION: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, 𝐴 and 𝐵. The results were as follows: 100 people voted for 𝐴, 450 people voted

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, 𝐴 and 𝐵. The results were as follows: 100 people voted for 𝐴, 450 people voted      Log On


   



Question 1157702: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, 𝐴 and 𝐵. The results were as follows: 100 people voted for 𝐴, 450 people voted for 𝐵, and 50 people voted for 𝐴 and 𝐵. If one person is chosen at random from the 1000 eligible voters, find the probability the person voted for 𝐴, given that he voted for 𝐵. Find the probability that the person voted for 𝐵, given that he voted for 𝐴.
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In a recent election there were 1000 eligible voters. They were asked to vote on two issues, 𝐴 and 𝐵.
The results were as follows: 100 people voted for 𝐴, 450 people voted for 𝐵, and 50 people voted for 𝐴 and 𝐵.
If one person is chosen at random from the 1000 eligible voters, find
(a) the probability the person voted for 𝐴, given that he voted for 𝐵.
(b) Find the probability that the person voted for 𝐵, given that he voted for 𝐴.
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(a)  P ( the person voted for 𝐴, given that he voted for 𝐵 ) = 50%2F450 = 1%2F9.           ANSWER



(b)  P ( the person voted for 𝐵, given that he voted for 𝐴 ) = 50%2F100 = 1%2F2.           ANSWER

Solved.