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WorksheetsMixed Probability Problems
Total questions: 15
Worksheet time: 1hrs 15mins
________________ probability is based on expected results.
Theoretical
Experimental
_________________ probability is based on the actual recorded results of an experiment.
Theoretical
Experimental
Stephanie uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Which of the following statements is true? Select all that apply.
The probability of the pointer landing on an even-numbered section is about 66.67%
It is impossible that the pointer will land on 1.
It is less likely that the pointer will land on an odd-numbered section.
It is certain that the pointer will land on a number less than 6.
Does the following list represent a complete probability model? Explain.
P(red) = 61 , P(yellow) = 31 , P(blue) = 121 , P(green) = 21
No; the product of the probabilities is less than 1.
No; the sum of the probabilities is greater than 1.
Yes; the product of the probabilities is less than 1.
Yes; the sum of the probabilities is greater than 1.
Shianne plays a game by rolling two number cubes with sides numbered 1 through 6. To win the game, the sum of the numbers facing up must be 11. What is the probability that Shianne will win the game?
P(sum of 11) = 62
P(sum of 11) = 122
P(sum of 11) = 362
P(sum of 11) = 364
Madeleine spins the pointer of a spinner. The spinner has 7 equal-sized sections labeled 1 to 7. What is the probability that Madeleine will spin a 7?
71
77
72
74
Adam has a bag of marbles that are all the same size. Of all the marbles in the bag, there are 6 red, 7 white, 3 black, and 4 green marbles. Which of the following statements are true? Select all that apply.
It is impossible that Adam will draw a blue marble.
It is more likely that Adam will draw a black marble than a green marble.
It is certain that Adam will draw either a red, white, black, or green marble.
It is unlikely that Adam will draw a black marble.
It is neither likely nor unlikely that Adam will draw a green marble.
The random numbers represent 10 trials of simulation. The numbers 0-7 represents students who watched television last night, and the numbers 8 and 9 represent students who did not. Based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected 7th graders watched TV last night?
101
104
105
109
The robotics team is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Maryluz is handed a T-shirt, what is the probability that the color is red?
259
169
53
2516
A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times. For which letter is the experimental probability closest to the theoretical probability?
B
I
N
G
O
Find P(spinning a 1). Write your answer as a percentage.
(a)
Harlem records the number of winners of three Ring Toss games in the table. Based on the data recorded in the table, how many winners should Harlem expect if there are 750 players?
(a)
Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tree diagram represents all possible outcomes. What is the probability that Ang wins and is given a mug? Write your probability as a decimal.
(a)
Ms. Cassermere is handing out wristbands for a field trip. There are 40 black, 20 yellow, 25 orange, and 15 purple wristbands. If Ibon is handed a wristband, what is the probability the color is orange?
51
41
52
43
Four people enter their names into a drawing to win one of three prizes. The table represents all possible outcomes when choosing one name and one prize. What is the probability that Jayden will win a hat?
121
123
61
81
41
