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The following information was gathered from 1500 randomly chosen families with two kids:

Suppose a family is chosen randomly.

What is the probability of the randomly chosen family that has 2 girls?

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1960

2960

3960

960

answer is A.

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Detailed Solution

Given a data gathered from 1500 families.
Question Image

We have to find the probability of the randomly chosen family that has 2 girls.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

Total number of outcomes, n(S) = 1500.
Let

C

be the event that a family has two girls.

⇒ n (C) = 475

The probability that the family has 2 girls is given by,

P (C) = n (C) n (S) ⇒ P (C) = 4751500 ⇒ P (C) = 95300 ⇒ P (C) = 1960

Thus, the probability for two girls is

1960

.
Hence, option 1 is the correct option.

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