Last year Alaska voted for mayor with the following results: 5 male Democrats, 2
ID: 3037221 • Letter: L
Question
Last year Alaska voted for mayor with the following results:
5 male Democrats, 22 male Republicans comma 13 male Bull Moose Party.
18 female Democrats, 12 female Republicans, and 35 Bull Moose Party females.... one of these voters are selected at random.
(A) What is the probability that this person voted Democrat?
(B) What is the probability that this person is a female who voted Democrat?
(C) If the person selected is female, what is the probability that this person voted Democrat?
(D) If the person selected voted Democrat, what is the probability that this person is female?
Explanation / Answer
A) Total number of voters = 5+22+13+18+12+35= 40+65=105
Probability that this person voted for democrats = no. of male+female democrats / total no. = (5+18)/105 = 23/105.
B) Probability that this person is a female who voted for democrats = no. of female democrats/ Total no = 18/105.
C) If person selected is female, Probability that she voted for democrats = no. of female democrats/ total females = 18/(18+12+35) = 18/65.
D) If person selected voted for democrats, probability of being a female = 18/(18+5) = 18/23
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