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Probability Word Problems (Grade 8)

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Probability Word Problems

1. 
A survey was taken at school and 525 students were asked if they belonged to a club. 212 people responded saying they did belong to a club. If a student walking down the hall was randomly chosen, then the probability that this person belongs to a club is [math]212//525[/math].
  1. True
  2. False
2. 
It takes 7 students 38 minutes to complete a test, 3 students 36 minutes, 1 student 34 minutes, 6 students 32 minutes, and 10 students 30 minutes. What is the probability that one student will complete the test in 30 minutes?
  1. [math]1//20[/math]
  2. [math]10//17[/math]
  3. [math]10//27[/math]
  4. [math]10//30[/math]
3. 
Becky is tossing a six-sided number cube labeled 1, 2, 3, 4, 5, and 6. What is the probability of
tossing 6 two times in a row?
  1. [math]1//36[/math]
  2. [math]1//6[/math]
  3. [math]1//3[/math]
  4. [math]1//2[/math]
4. 
There are 20 males and 15 females in your class. The teacher wants to appoint one person to be in charge of attendance. What is the probability that this person will be female?
  1. [math]3//4[/math]
  2. [math]1//15[/math]
  3. [math]4//7[/math]
  4. [math]3//7[/math]
5. 
Jennifer has a fair coin and a wooden cube. On the cube, there are two faces colored green, two faces colored blue, and two faces colored red. Jennifer flips the coin and tosses the cube. What is the probability of getting both a tail on the toss of the coin and a green face on the roll of the cube?
  1. [math]1//4[/math]
  2. [math]1//6[/math]
  3. [math]1//12[/math]
  4. [math]1//2[/math]
6. 
In a library box, there are 8 novels, 8 biographies, and 8 war history books. If Jack selects two books at random, what is the probability of selecting two different kinds of books in a row?
  1. [math]16//23[/math]
  2. [math]16//24[/math]
  3. [math]8//24[/math]
  4. [math]7//23[/math]
7. 
A new bag of golf tees contains 10 red tees, 10 orange tees, 10 green tees and 10 blue tees. You empty the tees into your golf bag. What is the probability of grabbing out two tees of the same color in a row for you and your partner?
  1. [math]1//40[/math]
  2. [math]10//40[/math]
  3. [math]9//39[/math]
  4. [math]9//40[/math]
8. 
Ronald has 6 red pencils, 4 green pencils and 5 blue pencils. If he picks out one pencil without looking, what is the probability that he picks a green pencil?
  1. 1 out of 3
  2. 1 out of 4
  3. 1 out of 15
  4. 4 out of 15
9. 
Monique has a box that contains the following marbles:
5 yellow marbles, 3 green marbles, 2 orange marbles and 2 blue marbles. She randomly selects 2 marbles from the box and keeps them. If she randomly selects a third marble from the box, the probability that she selects a green marble will be [math]2//10[/math]. Which of the following statements could be true about the first two marbles she selected?
  1. One was yellow and one was green
  2. One was orange and one was yellow
  3. One was orange and one was blue
  4. Both were green
  5. Both were yellow
10. 
Each of the 6 faces of a fair cube is painted red, yellow, or blue. This cube is rolled 500 times. Below shows the number of times each color landed face up.
Red - 90 times, yellow - 340 times, and blue - 70 times.
Based on these results, what is the most likely number of yellow faces on the cube?
  1. one
  2. two
  3. three
  4. four
  5. six
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