Question 1191705: 4000 adults were asked if they voted in the last election and if they were members of the Yellow political party. The results of the survey are below.
Voted
Yellow
408
392
800
Did Not Vote
NotYellow
2392
808
3200
total
2800
1200
4000
What is the probability someone was a member of the Yellow party? (Round to four decimal places, if necessary.)
P(yellow )=
What is the probability someone voted in the last election? (Round to four decimal places, if necessary.)
P(voted)=
What is the probability that a member of the Yellow party voted in the last election? (Round to four decimal places, if necessary.)
P(voted | yellow )=
What is the probability a person who voted in the last election is a member of the Yellow party? (Round to four decimal places, if necessary.)
P(yellow | voted )=
Answer by CPhill(1987)   (Show Source):
You can put this solution on YOUR website! Here's how to calculate the probabilities:
* **Total people surveyed:** 4000
* **P(Yellow):** (Number of Yellow party members) / (Total people) = 1200 / 4000 = 0.3
* **P(Voted):** (Number of people who voted) / (Total people) = 2800 / 4000 = 0.7
* **P(Voted | Yellow):** (Number of Yellow party members who voted) / (Number of Yellow party members) = 408 / 1200 ≈ 0.34
* **P(Yellow | Voted):** (Number of people who voted and are Yellow party members) / (Number of people who voted) = 408 / 2800 ≈ 0.1457
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