Answer to Question #210038 in Statistics and Probability for Mick

Question

A couple has three children.

i. Draw a tree diagram and find the sample space for this experiment.

ii. Find the probability of getting at least one child of each gender. 

Answer 1

(i) Tree diagram is-

Sample Space for this experiment-

={BBB,BBG,BGB,BGG,GBB,GBG,GGB,GGG}

(ii) probability of getting at least one child of each gender-

$=\dfrac{6}{8}=0.75$