Question

Of 100 people, 50 are Democrats, 40 are Republicans, and 10 are Independents. The percentages of the people in these three categories who read The Wall Street Journal are known to be 30, 60, and 40 percent, respectively. If one of these people is observed reading the Journal, what is the probability that he or she is a Republican?
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Answer 1

Answer:

6/25

Step-by-step explanation:

Now here there are two conditions, that the person reading the newspaper should be a republican.

Probability of Republican = 40 / 100 = 4 /10

Now the other condition is that this republican should be reading the Journal.

That probability would be = 4/10 x 60/100

Probability that a Republican reading Journal = 4 / 10 x 6 / 10 = 24 / 100

Probability that a Republican reading Journal = 12 / 50 = 6/25