Sample Space and Events

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Show your work for each problem.

1.
What is the sample space when flipping a single coin?
1. a)
2. b)
3. c)
4. d)
2.
How many outcomes are in the sample space when rolling a standard 6-sided die?
3.
Which of the following is the event "rolling an even number" on a die?
1. a)
2. b)
3. c)
4. d)
4.
List the sample space for flipping two coins.
5.
A coin is flipped and a die is rolled. How many outcomes are in the sample space?
6.
When flipping two coins, which event represents "getting exactly one head"?
1. a)
2. b)
3. c)
4. d)
7.
A spinner has 4 equal sections: Red, Blue, Green, Yellow. Find the event of landing on a primary color.
8.
How many outcomes are in the sample space when rolling two dice?
9.
A card is drawn from a standard 52-card deck. How many outcomes are in the event "drawing a face card"?
10.
An event that equals the entire sample space is called a:
1. a)Compound event
2. b)Impossible event
3. c)Certain event
4. d)Simple event
11.
Three coins are flipped. How many outcomes are in the sample space?
12.
When rolling two dice, find the number of outcomes where the sum equals 7.
13.
Which of the following is an impossible event when rolling a standard die?
1. a)Rolling an even number
2. b)Rolling a prime number
3. c)Rolling a number less than 4
4. d)Rolling a 7
14.
A bag contains 3 red marbles and 2 blue marbles. Two marbles are drawn without replacement. Find the sample space.
15.
A password consists of one letter (A, B, or C) followed by one digit (1 or 2). How many possible passwords are there?