Introduction to Probability

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Show your work for each problem.

1.
What is the probability of rolling a on a standard six-sided die?
1. a)
2. b)
3. c)
4. d)
2.
Which event has a probability of ?
1. a)Flipping heads on a coin
2. b)Rolling an odd number
3. c)Rolling a 7 on a standard die
4. d)Rolling a number less than 7
3.
What is the probability of flipping heads on a fair coin? Write your answer as a simplified fraction.
4.
A bag contains 4 red marbles and 6 blue marbles. What is the probability of drawing a red marble? Write as a simplified fraction.
5.
Which event has a probability of ?
1. a)Rolling a number less than 7 on a die
2. b)Rolling a 6 on a die
3. c)Flipping heads
4. d)Rolling an even number
6.
A spinner has 8 equal sections: 3 red, 2 blue, and 3 green. What is the probability of landing on blue?
7.
What is the probability of rolling an odd number on a standard die? Write as a simplified fraction.
8.
A bag has 5 red, 3 blue, and 2 yellow marbles. What is the probability of NOT drawing a red marble?
1. a)
2. b)
3. c)
4. d)
9.
A deck has 4 aces in 52 cards. What is the probability of drawing an ace? Simplify your answer.
10.
Express the probability as a percentage.
11.
A box contains 6 red balls, 4 blue balls, and 5 green balls. What is the probability of drawing a ball that is NOT green?
12.
The probability of an event is . What is the probability that the event does NOT happen? Write as a decimal.
13.
Which statement about probability is FALSE?
1. a)A certain event has probability 1
2. b)An impossible event has probability 0
3. c)Probability ranges from 0 to 1
4. d)If you flip heads 5 times in a row, tails is more likely on the next flip
14.
A jar contains 8 white marbles, 6 black marbles, and 4 gray marbles. If you randomly pick one marble, what is the probability it is white or gray?
15.
In a survey, 25 students like math, 15 like science, and 10 like both. If a student is chosen at random from the 30 total students surveyed, what is the probability they like math but NOT science?