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murdocksfamilyouoxvm
21.02.2020 •
Mathematics
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 25 people voted for A and B. If one person is chosen at random from the 1000 eligible voters, find the following probabilities:
a.The person voted for A, given that he voted for B.
b. The person voted for B, given that he voted for A.
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Ответ:
a) the probability is 1/4 (25%)
b) the probability is 1/18 (5.55%)
Step-by-step explanation:
a) defining the events A= the person voted for A and the event B= the person voted for B , then for conditional probability we can use the theorem of Bayes . Thus ,
P(A/B)= P(A∩B)/P(A)
Where
P(A/B)= probability that the person voted for A, given that he voted for B
P(A∩B)= probability that the person voted for A and B
replacing values
P(A/B)= P(A∩B)/P(A)= 25/total / 100/total = 1/4 (25%)
b) similarly for B:
P(B/A)= P(A∩B)/P(B)= 25/total / 450/total =1/18 (5.55%)
where
P(A/B)= probability that the person voted for B, given that he voted for A
Ответ:
81
Step-by-step explanation:
9 x 9 =