In problems 1 - 6, write a sample space for the given experiment.
A die is rolled.
A penny and a nickel are tossed.
A die is rolled, and a coin is tossed.
Three coins are tossed.
Two dice are rolled.
| 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) |
A jar contains four marbles numbered 1, 2, 3, and 4. Two marbles are drawn.
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.
Determine whether the following pair of events are mutually exclusive.
A card is drawn from a deck.
A die is rolled.
Two dice are rolled.
Three coins are tossed.
A family has three children.
Use the addition rule to find the following probabilities.
A card is drawn from a deck, and the events C and D are as follows:
Find P(C or D).
A die is rolled, and the events E and F are as follows:
Find P(E or F).
Two dice are rolled, and the events G and H are as follows:
Find P(G or <