- Suppose a family has four children.
- What is the sample space?
- What is the probability of 4 boys? 4 girls?
- What is the probability of 1 girl and three boys? 1 boy
and three girls?
- What is the probability of 2 boys and 2 girls?
- What is the sum of your answers in parts b through d?
- What is the probability of a family of three children
consisting of two boys given that at least one of them is a boy?
(Assume the probability of a boy child is the same as a girl child.)
- A couple has two children. What is the probability that both
are girls if the eldest is a girl? (Assume the probability of a boy
child is the same as a girl child.)
- What is the probability of flipping a coin four times and
obtaining three heads, given at least two are heads?
- A chairman and a vice-chairman of a board consisting of 10
men and 5 women are to be chosen. After a chairman is chosen, what
is the probability that the vice-chairman is a woman?
- Two fair dice are rolled. What is the conditional probability
that the first one lands on 6 given that the dice land on different
- What is the probability that at last one of a pair of fair
dice lands on given that the sum of the dice is ,
- Three cards are randomly selected, without replacement, from
an ordinary deck of 52 playing cards. Compote the conditional
probability hat the first card selected is a spade, given that the
second and third cards are spades.
Experimentation, COnjecture, and Reasoning
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The translation was initiated by Steven Dunbar on 2007-11-30
Steven R. Dunbar
Department of Mathematics and Statistics
University of Nebraska-Lincoln
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