Homework Sourseconsider a family with 3 children assume the probability tha
consider a family with 3 children. assume the probability that one child is a boy is .5 and the probability that one child is a girl is also .50 and that the events boy and girl are independent. list the equally likely events for the gender of the 3 children
Solution
All three boys :
(0.5)(0.5)(0.5) = 0.125---> ANSWER
All three girls :
(0.5)(0.5)(0.5) = 0.125---> ANSWER
2 boys , 1 girl :
3C2 * (0.5)^2 * (0.5)^1
3*(0.125) = 0.375 ---> ANSWER
2 girls, 1 boy :
3C2 * (0.5)^2 * (0.5)^1
3*(0.125) = 0.375 ---> ANSWER
So, equally likely events are :
a) all 3 boyrs and all 3 girls, both of which have probability of 0.125 each
b) 2 boys,1 girl and 2 girls, 1 boy, both of which have a probability of 0.375 each
