Calculating Simple Probability

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Show your work for each problem.

1.
A bag contains 3 red marbles and 7 blue marbles. What is the probability of drawing a red marble?
1. a)
2. b)
3. c)
4. d)
2.
A spinner has 5 equal sections. What is the probability of landing on any one specific section? (Answer as a decimal)
3.
What is the probability of rolling a number less than on a standard die?
1. a)
2. b)
3. c)
4. d)
4.
A deck of cards has 52 cards. What is the probability of drawing a King?
5.
A bag has 8 equally likely outcomes. What is the probability of getting one specific outcome? (Answer as a simplified fraction like 1/8)
6.
A box contains 5 green balls, 3 yellow balls, and 2 purple balls. What is the probability of NOT drawing a green ball?
1. a)
2. b)
3. c)
4. d)
7.
A spinner has 12 equal sections numbered 1-12. What is the probability of landing on a multiple of 3?
8.
In a class of 25 students, 10 play soccer and 8 play basketball. If a student is chosen randomly, what is the probability they play soccer? (Answer as percentage, numbers only)
9.
A jar contains 6 red candies, 4 blue candies, and 2 green candies. What is the probability of picking a red OR blue candy?
10.
A die is rolled. What is the probability of getting a prime number?
1. a)
2. b)
3. c)
4. d)
11.
A survey shows that 15 out of 60 students prefer pizza, 25 prefer burgers, and the rest prefer tacos. What is the probability a random student prefers tacos?
12.
A letter is chosen randomly from the word PROBABILITY. What is the probability of choosing a vowel? (Answer as simplified fraction)
13.
A bag contains numbered balls 1-20. What is the probability of drawing a number that is BOTH even AND greater than 10?
1. a)
2. b)
3. c)
4. d)
14.
In a standard deck, what is the probability of drawing a face card (Jack, Queen, or King)?
15.
A factory produces 500 items. Quality control finds 15 are defective. If 5 items are selected randomly, what is the probability that the first one is defective? (Express as percentage)