Probability

Experimental Probability

100

Allison flipped a coin twenty times. She flipped heads 4 times and tails 16 times. What is the experimental probability that Allison will flip heads on her next flip?

4/20 = 1/5

200

A number cube has sides labeled 1 to 6. Connie rolls the number cube 12 times. She rolls a 5 three times. What is the experimental probability that her next roll will not be a 5?

9/12 = 3/4

300

Dominick recorded the favorite food of students in his class. The results are as follows: Pizza - 8 Hamburger-12 Pasta- 14 Steak-6 Based on the results of his students, what is the probability the next student he surveys responds pizza OR steak?

14/40 = 7/20

400

Dominick recorded the favorite food of students in his class. The results are as follows: Pizza - 8 Hamburger-12 Pasta- 14 Steak-6 Based on the results of his survey, what is the experimental probability the next students will NOT choose pasta?

26/40 = 13/20

500

Suki has 54 rock songs, 92 dance songs, and 12 classical songs on her playlist. If her music player randomly selects a song from a playlist, what is the probability the song will NOT be a classical song?

146/158 = 73/79

Theoretical Probability

100

What is the probability of rolling a 4 on a number cube?

1/6

200

When tossing two coins, what is the probability of getting heads twice in a row?

1/4

300

A bag is filled with colored candies. There are 25 red, 15 blue, 20 green, 30 yellow, and 10 orange candies. A. P(red or yellow) = ? B. P(not green) = ?

A. 55/100 = 11/20 B. 80/100 = 4/5

400

For lunch, you have 3 Sandwich choices (turkey, ham, roast beef), 3 soup choices (tomato, chicken noodle, vegetable), and 2 fruit choices (apple, orange). What is the probability that you choose ham, vegetable, and an apple?

1/18

500

For lunch, you have 3 Sandwich choices (turkey, ham, roast beef), 3 soup choices (tomato, chicken noodle, vegetable), and 2 fruit choices (apple, orange). What is the probability your lunch contains an orange?

9/18 = 1/2

Making Predictions

100

If you flip a coin 50 times, how many times would you expect to get tails?

1/2(50) = 25

200

You roll a number cube 270 times. How many times would you expect to get a number greater than 4?

1/3(270) = 90

300

The train arrives on time with a probability of 9/10. If Esme takes the train 20 times, how many times can she expect it to be on time?

9/10(20) = 18

400

A spinner is divided into 3 equal sections shaded blue, green, and orange. If Brody spins the spinner 300 times, how many times can he expect to land on blue?

1/3(300) = 100

500

The probability that Daria will win a game is 3/8. If she plays the game 80 times, how many times can she expect to win?

3/8(80) = 30

Independent Events

100

Suppose you roll a number cube twice. What is the probability of getting a 5 both times?

1/36

200

Suppose you spin a spinner with 5 equal sections: white, yellow, blue, green, and red. You also roll a number cube. P(red, 2) = ?

1/5 (1/6) = 1/30

300

Suppose you spin a spinner with 5 equal sections: white, yellow, blue, green, and red. You also roll a number cube. P(yellow or white, 6) = ?

2/5 (1/6) = 2/30 = 1/15

400

The letters from the word MISSISSIPPI are written on the cards. If you draw 2 cards and replace them after they have been drawn, what is the probability of choosing and "I" twice?

4/11(4/11) = 16/121

500

The letters from the word MISSISSIPPI are written on the cards. If you draw 2 cards and replace them after they have been drawn, what is the probability of choosing "M" and then a "S" ?

1/11(4/11) = 4/121

Dependent Events

100

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are chosen one at a time and not replaced. P(purple then white) = ?

1/2 (4/9) = 4/18 = 2/9

200

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are chosen one at a time and not replaced. P(black then purple) = ?

1/10(5/9) = 5/90 = 1/18

300

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are chosen one at a time and not replaced. P( white then white) = ?

2/5(1/3) = 2/15

400

A bag contains 5 chocolate chip, 7 oatmeal, and 3 peanut butter cookies. If you take 2 cookies from the bag without replacing them, what is the probability of choosing 2 chocolate chip?

1/3(2/7) = 2/21

500

A bag contains 5 chocolate chip, 7 oatmeal, and 3 peanut butter cookies. If you take 2 cookies from the bag without replacing them, what is the probability of choosing an oatmeal and then a peanut butter?

7/15(3/14) = 21/210 = 1/10