Probability Practice Test

Name: ______________________   Date: __________   Score: ____ / 32

32 questions. Calculator allowed. Show your working. steplyclass.com/probability/practice-test/

1. 1

   2 shirts and 3 pants, how many outfits

   Answer: ____________________

2. 2

   A pin has 4 different digits, how many pins

   Answer: ____________________

3. 3

   How many ways can 4 cards be put in a row
   1. A) ways = 4
   2. B) ways = 256
   3. C) ways = 24

4. 4

   How many ways can 7 photos be arranged in a row

   Answer: ____________________

5. 5

   Calculate 5P2
   1. A) 60
   2. B) 5
   3. C) 2
   4. D) 20

6. 6

   How many ways can 3 of 7 books be put in a row on a shelf?

   Answer: ____________________

7. 7

   Calculate 5C2
   1. A) 2
   2. B) 10
   3. C) 5
   4. D) 20

8. 8

   Maya picks 3 of her 7 books for a trip. How many ways can she pick?

   Answer: ____________________

9. 9

   Roll a die, P(4)
   1. A) P(4) = 6
   2. B) P(4) = 1
   3. C) P(4) = 16
   4. D) P(4) = 15

10. 10

    Pick a number from 1 to 25, P(not multiple of 5)

    Answer: ____________________

11. 11

    The odds for A are 3 : 5, find P(A)
    1. A) P(a) = 35
    2. B) P(a) = 8
    3. C) P(a) = 3
    4. D) P(a) = 38

12. 12

    The odds against win are 15 : 5, find P(win)

    Answer: ____________________

13. 13

    A coin is flipped 50 times and lands heads 28 times, find the experimental probability of heads
    1. A) 2850%
    2. B) 50%
    3. C) 560%
    4. D) 56%

14. 14

    A die is rolled 36 times and 5 comes up 0 times, find the experimental probability of rolling a 5

    Answer: ____________________

15. 15

    Flip 2 coins, P(two heads)
    1. A) P(2 heads) = 14
    2. B) P(2 heads) = 4
    3. C) P(2 heads) = 1
    4. D) P(2 heads) = 13

16. 16

    Roll two dice, P(sum more than 3)

    Answer: ____________________

17. 17

    A bag has 4 red and 6 blue marbles, 2 are picked at random, P(both red)
    1. A) P(all red) = 215
    2. B) P(all red) = 45
    3. C) P(all red) = 6

18. 18

    3 cards are dealt from 52, P(all kings)

    Answer: ____________________

19. 19

    Roll a die, P(1 or 6)

    Answer: ____________________

20. 20

    Pick a card from 52, P(jack or black)

    Answer: ____________________

21. 21

    Flip a coin and roll a die, P(heads and 6)

    Answer: ____________________

22. 22

    A bag has 5 white and 5 black marbles, two are picked without replacement, P(both black)

    Answer: ____________________

23. 23

    Two-way table: boys 12 cat 8 dog, girls 10 cat 20 dog; P(dog)

    Answer: ____________________

24. 24

    Two-way table: men 20 left 5 right, women 10 left 15 right; P(woman or right)

    Answer: ____________________

25. 25

    Boys 12 cat 8 dog, girls 10 cat 20 dog, P(dog given girl)

    Answer: ____________________

26. 26

    Boys 15 bike 25 walk, girls 20 bike 20 walk, P(girl given bike)

    Answer: ____________________

27. 27

    40 students: 22 play soccer, 15 play tennis, 8 play both, P(both)
    1. A) P(both) = 15
    2. B) P(both) = 11
    3. C) P(both) = 7
    4. D) P(both) = 14

28. 28

    P(sun) = 0.6, P(walk given sun) = 0.8, P(walk given no sun) = 0.3, find P(sun given walk)

    Answer: ____________________

29. 29

    A game: win $10 with probability 15, lose $2 otherwise, expected value
    1. A) E = $0.40
    2. B) E = $0.04
    3. C) E = $4

30. 30

    A game: win $5 with probability 12, win $1 with probability 14, lose $10 otherwise, expected value

    Answer: ____________________

31. 31

    Find the probability of exactly 1 head in 3 coin flips.
    1. A) P(1 head) = 18
    2. B) P(1 head) = 38
    3. C) P(1 head) = 3

32. 32

    Roll a die 5 times, probability of exactly 1 one

    Answer: ____________________