Use this table to answer the next two questions. The table represents a random s

Question

Use this table to answer the next two questions.

The table represents a random sample of the population.

If one person is drawn at random from the above represented sample, what is the probability that they are a married woman?

(a) 42/70

(b) 36/70

(c) 34/70

(d) 25/70

6. If one person is drawn at random from the above represented sample, what is the probability that they are a male if you know that they have never been married?

(a) Roughly 55%

(b) About 49% (

c) Around 31%

(d) Nearly 100%

Men Women Total Never married 12 10 22 Married 17 25 42 Divorcied 3 2 5 Widowed 0 1 1 Total 34 36 70

Explanation / Answer

1. P(maried & woman) :

Correct option:

(d) 25/70

EXPLANATION: In the Table, entry corresponding to Row of "Married" and column of "Woman" is 25. Total number is 70.

6. To find P(male/never married):

Let A = male

B = never married

By multiplication theorem:
P(AB) = P(A/B) P(B)

So, P(A/B) = P(AB)/P(B)

Now. P(AB) = P(male & never married) = 12/70 = 0.1714

P(B) = P(never married) = 22/70 = 0.3143

Substituting, we get

P(male/never married) = 0.1714/.3143 = 0.55.

So, correct option is:

(a) Roughly 55%

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