Probability


Question 1.

Suppose your dog will have a litter of 4 puppies. Assume that the males and females are equally likely and that the sex of a pup is not influenced by the sex of any other pup.

a. List the sample space of sex distributions of the litter. (Hint: there are 16 points.)

b. Compute the probability the litter will have two males and two females.

c. Which is more likely?
(1) The litter will have 2 males and 2 females, or
(2) The litter will have 3 pups of one sex and 1 pup of the other.

Question 2.

A card is drawn from an ordinary deck. Find the probability that

a. the card is a King or Queen

b. the card is neither a King or Queen

c. the card is Red or a face card

Question 3.

Consider the following survey of 2000 crime victims.

				          CRIME
Relationship to victim | Homicide Robbery Assault Totals
--------------------------- | ------------ ------------ ----------- ----------
Stranger | 12 379 727 1118
Acquaintance/Relative | 39 106 642 787
Unknown | 18 20 57 95
Totals | 69 505 1426 2000

Answer the following questions based on this data.

a. If a crime victim was selected at random what is the probability the person was robbed by a stranger?

b. What is the probability a crime victim is killed?

c. If a person is robbed, what is the probability the victim was acquainted with (or relative of) the assailant?

d. If a person is victimized by an acquaintance (or relative), what is the probability the person is assaulted?

e. What is the probability a person is assaulted or victimized by a stranger?


BACK to Quiz Index