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

A family is chosen at random.

What is the probability that it has more girls than boys?

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2960

1060

1960

960

answer is C.

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Detailed Solution

Given that, a data gathered from 1500 families.
Question Image

We have to find the probability of the randomly chosen family that has more girls than boys.
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

E

be the event for more girls than boys.
So, the family with more girls than boys means zero boys and two girls.
The frequency for more girls than boys is, n(E) = 475.
Probability for more girls than boys is given by,

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

Thus, the probability for more girls than boys is

1960

.
Hence, option 3 is the correct option.

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