This chapter covers principles of probability. After completing this chapter students should be able to: write sample spaces; determine whether two events are mutually exclusive; use the addition rule; calculate probabilities using tree diagrams and combinations; solve problems involving conditional probability; determine whether two events are independent.
Sample spaces and probability
In problems 1 - 6, write a sample space for the given experiment.
Got questions? Get instant answers now!
A die is rolled, and a coin is tossed.
Got questions? Get instant answers now!
|
1 |
2 |
3 |
4 |
5 |
6 |
1 |
(1, 1) |
(1, 2) |
(1, 3) |
(1, 4) |
(1, 5) |
(1, 6) |
2 |
(2, 1) |
(2, 2) |
(2, 3) |
(2, 4) |
(2, 5) |
(2, 6) |
3 |
(3, 1) |
(3, 2) |
(3, 3) |
(3, 4) |
(3, 5) |
(3, 6) |
4 |
(4, 1) |
(4, 2) |
(4, 3) |
(4, 4) |
(4, 5) |
(4, 6) |
5 |
(5, 1) |
(5, 2) |
(5, 3) |
(5, 4) |
(5, 5) |
(5, 6) |
6 |
(6, 1) |
(6, 2) |
(6, 3) |
(6, 4) |
(6, 5) |
(6, 6) |
Got questions? Get instant answers now!
In problems 7 - 12, a card is selected from a deck. Find the following probabilities.
A jar contains 6 red, 7 white, and 7 blue marbles. If a marble is chosen at random, find the following probabilities.
Consider a family of three children. Find the following probabilities.
Two dice are rolled. Find the following probabilities.
A jar contains four marbles numbered 1, 2, 3, and 4. If two marbles are drawn, find the following probabilities.
Mutually exclusive events and the addition rule
Determine whether the following pair of events are mutually exclusive.
Got questions? Get instant answers now!
A card is drawn from a deck.
Got questions? Get instant answers now!
A die is rolled.
Got questions? Get instant answers now!
Two dice are rolled.
Got questions? Get instant answers now!
Three coins are tossed.
Got questions? Get instant answers now!
A family has three children.
Got questions? Get instant answers now!
Use the addition rule to find the following probabilities.
A card is drawn from a deck, and the events
and
are as follows:
Find
.
Got questions? Get instant answers now!
A die is rolled, and the events
and
are as follows:
Find
.
Got questions? Get instant answers now!
Two dice are rolled, and the events
and
are as follows:
Find
.
Got questions? Get instant answers now!
Three coins are tossed, and the events
and
are as follows:
Find
.
Got questions? Get instant answers now!
At De Anza college, 20% of the students take Finite Mathematics, 30% take Statistics and 10% take both. What percentage of the students take Finite Mathematics or Statistics?
Got questions? Get instant answers now!