A Family Has 3 Children,2 Girls and a Boy

Essay

A family has 3 children,2 girls and a boy.Every morning (Tuesday through Saturday)each child selects a stock at random from the list printed in the newspaper.If the stock is up,that child does the morning dishes.If the stock is down,the child who picked the stock does the noon dishes.If the stock is unchanged,that child does the evening dishes.If there is a tie-2 children to do the noon dishes,for example-then both children work together to do the noon dishes,and the remaining meal's dishes are done by default by mom or dad.The assignments can be thought of as an ordered triple,ordered by age.For example,(+,0,-)means that the youngest does the morning dishes (the stock was up),the oldest child does the noon dishes (the stock was down),and the middle child,whose stock was unchanged,does the dishes after the evening meal.(-,0,0)means the youngest does the noon dishes,the other two work together on the dishes from the evening meal.The morning dishes are done by mom and dad.Determine the following events:
(a)
= {the oldest and youngest work together doing the dishes; the middle child does the dishes from a different meal}
(b)
= {the youngest child has the day off}
(c)
= {mom and dad do the dishes twice}
(d)
= {the oldest child does the noon dishes alone}
(e)
(f)
∪
(g)Let
= {either the oldest or the youngest child does the morning dishes alone}
Let
= {the middle child does the evening dishes alone}
∩
(h)
∩
(i)
∪
(j)
∩