Question

out of 1000 families of 3 children each. how many would you expect to have 2 boys and 1 girl?​

Answer 1

Answer:

1/6

Step-by-step explanation:

Total 6 possibilities are there, and it's one of them.

Answer 2

Answer:

The choice is $\frac{3}{8}$ .

Step-by-step explanation:

The possible out comes are

BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG

Wherein 3 meet the requirement.

There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely).

Hence the choice is $\frac{3}{8}$ .

Identifyied all the possible ways to get 2 boys and one girl.

P( 2 boys, 1 girl) = P(BBG) + P(BGB) + P(GBB)

                           = $(\frac{1}{2} )$ $(\frac{1}{2} )$ $(\frac{1}{2} )$ +  $(\frac{1}{2} )$ $(\frac{1}{2} )$ $(\frac{1}{2} )$ +  $(\frac{1}{2} )$ $(\frac{1}{2} )$ $(\frac{1}{2} )$

                           = $\frac{1}{8}$ + $\frac{1}{8}$ + $\frac{1}{8}$

                           =  $\frac{3}{8}$ .

Hence the choice is $\frac{3}{8}$ .