Construct a probability distribution table if we let X the random variable be the number of boys in the family with 3 children.

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As boys are equally likely.

For three children the possible outcomes are,

BBB=3

BBG=2

BGB=2

BGG=1

GBB=2

GBG=1

GGB=1

GGG=0

B represents Boys and G represent Girls

Therefore X takes value {0,1,2,3} from above.

Probability distribution table is