Download Permutations and Combinations

Probability Intro
Name _______________________________
1. A basketball player attempted 24 shots and made 13. Find the empirical probability that the player will
make the next shot she attempts.
2. A baseball player attempted to steal a base 70 times and was successful 47 times. Find the empirical
probability that the player will not be successful on his next attempt to steal a base.
3. Luke tossed a six sided die and recorded the results in the table below.
a) Find the empirical probability of rolling a number less than four on the next roll.
Result
1
2
3
4
5
6
Frequency
3
5
4
6
4
3
b) Find the theoretical probability that Luke rolls a number less than four on the next roll, assuming the
die is a fair one.
4. A group of five cards are numbered 1-5. You choose one card at random. Find each theoretical
probability.
a. P(card is a 2)
b. b. P(even number)
c. c. P(less than 5)
5. Bernice has a bag of 6 red, 4 blue, and 5 orange lollipops. She picks one lollipop, puts it back, and picks
another. Find each theoretical probability.
a) P( 1 blue & 1 orange)
b) P(the same color both times)
c) P(not red either time)
6. Alice has a bag of 6 red, 4 blue, and 5 orange lollipops. She picks one lollipop, eats it, and picks another.
Find each theoretical probability.
a) P(1 blue & 1 orange)
b) P(the same color both times)
c) P(not red either time)
7. Find the probability that a point selected at random will lie inside the triangle below:
8. Explain in words: What’s the difference between theoretical probability and empirical probability?
9. How do you find the probability of multiple events (such as in numbers #5 and #6)?