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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 1 girl?

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307750

417750

402750

407750

answer is D.

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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 one girl.
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

B

be the event that a family has one girl.
Then, n(B)=814
The probability that a family has one girl is given by,

P (B) = n (B) n (S) ⇒ P (B) = 8141500 ⇒ P (B) = 407750

Thus, the probability that a family has one girl is

407750

.
Hence, option 4 is the correct option.

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