There are 50 families in the Doe clan Each family has five c

There are 50 families in the Doe clan. Each family has five children. How many of these families have the following situation (take into account birth order in calculation): a. All girls or all boys? b. Three girls and two boys in one family, or one boy and four girls in one family? c. Five boys in one family, or two girls and three boys in one family?

Solution

a) All girls : P( all girls)= 1/2X1/2X1/2/1/2X1/2 =1/32

All boys: P ( all boys)=1/2x1/2x1/2x/1/2x/1/2= 1/32

b) Three girls and two boys in one family;

(3G,2B)= 5/32

One boy and four girls in one family:

(1B,4G)= 5/32

c) Five boys in one family\"

(5B)=5/32

Two girls and 3 boys in one family

(2G3B)= 5/32