EXAM REVIEW – PART 
1.
Mrs. McCarthy challenges Mrs. Castellan to a game of Math Jeopardy. Initially, both teachers have
an equal chance of winning or losing. When Mrs. McCarthy wins a round, she has an 85% chance
of winning the next round. If she loses a round, she has 55% chance of losing again in the next
round. They play 2 rounds of the game.
a)
2.
Draw a tree diagram (fully labelled)
illustrating the 2 rounds of the game.
b)
Determine the probability that Mrs.
McCarthy will win both rounds.
c)
Determine the probability that Mrs.
McCarthy will win exactly one round.
Determine the probability for each of the following events:
a)
drawing a Queen from a standard deck;
_________________
b)
not drawing a club from a standard deck;
_________________
c)
rolling a prime number on one die;
_________________
d)
rolling doubles with two dice;
_________________
e)
rolling a sum of 13 with two dice;
_________________
f)
rolling a sum less than 6 given that doubles are rolled.
_________________
3.
Determine the probability of rolling a total of 8 or exactly one 5 with the toss of two dice.
4.
A card is drawn from a standard deck. Determine the probability, as a fraction in lowest terms, that
the card is:
a)
a King and a black card;
c)
a King given that it is a black card.
b)
a King or a black card;
5.
6.
7.
A five member committee is to be formed from 10 teachers, 6 students, and 8 parents. Determine
the probability, rounded to 2 decimal places, that the committee has:
a)
exactly 2 students and 3 parents;
b)
no teachers;
c)
at least 2 students.
d)
Determine the expected number of
teachers on the committee.
Mail order marketing companies have a response rate of 15% to their advertising in flyers.
a)
Determine the probability, rounded to 2 decimal places, that exactly 3 people out of a
sample of 20 respond to the flyers they receive.
b)
Determine the expected number of people in a sample of 20 who will respond to the flyers.
a)
Create a probability distribution table for the number of heads that come up in the toss of
three coins.
X
b)
P(X)
Points
If 3 points are awarded for identical tosses and 1 point is lost when the tosses are not
identical, determine the expected number of points for a player.