Independent Events

Name:

Class:

Date:

Show your work for each problem.

1.
Which of the following are independent events?
1. a)Flipping a coin twice
2. b)Rolling one die after eating breakfast
3. c)Choosing a student, then choosing another from remaining students
4. d)Drawing two cards without replacement
2.
A coin is flipped twice. What is the probability of getting heads both times? Give your answer as a fraction.
3.
What is the probability of rolling a 6 on a die AND getting heads on a coin?
1. a)
2. b)
3. c)
4. d)
4.
Two dice are rolled. What is the probability of getting a 1 on both dice?
5.
If you flip a coin 3 times, what is the probability of getting heads all 3 times? Give your answer as a fraction.
6.
You have flipped a coin 5 times and got heads every time. What is the probability of heads on the 6th flip?
1. a)
2. b)
3. c)
4. d)Less than because tails is due
7.
You roll a die and flip a coin. What is the probability of getting an even number AND tails?
8.
A spinner has 4 equal sections (red, blue, green, yellow). If you spin it twice, what is the probability of getting red both times? Give your answer as a fraction.
9.
A machine has 3 independent parts. Each part has a 90% (0.9) chance of working. What is the probability that all 3 parts work?
10.
Two dice are rolled. What is the probability that both show a number greater than 4?
1. a)
2. b)
3. c)
4. d)
11.
A coin is flipped 4 times. What is the probability of getting heads exactly 4 times? Give your answer as a fraction.
12.
A basketball player makes free throws with 80% (0.8) accuracy. What is the probability she makes 3 free throws in a row?
13.
A 4-digit PIN uses digits 0-9. If someone guesses randomly, what is the probability of guessing correctly on the first try?
1. a)
2. b)
3. c)
4. d)
14.
A die is rolled and a coin is flipped twice. What is the probability of rolling a 5 AND getting heads on both flips?
15.
Each bulb in a string of 5 lights has a 95% (0.95) chance of working. What is the probability all 5 bulbs work? Round to 3 decimal places.
16.
You draw a card from a deck, put it back, and draw again. What is the probability of drawing a heart both times?