Probability Practice Test
32 questions from 16 lessons · 100 minutes · percent score and grade · step-by-step answers
How it works
- 32 questions, about 100 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 11 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the Probability formula sheet.
1 Question 1
2 shirts and 3 pants, how many outfitsType the answer.
2 Question 2
A pin has 4 different digits, how many pinsType the answer.
3 Question 3
How many ways can 4 cards be put in a row- A) ways = 4
- B) ways = 256
- C) ways = 24
4 Question 4
How many ways can 7 photos be arranged in a rowType the answer.
5 Question 5
Calculate 5P2- A) 60
- B) 5
- C) 2
- D) 20
6 Question 6
How many ways can 3 of 7 books be put in a row on a shelf?Type the answer.
7 Question 7
Calculate 5C2- A) 2
- B) 10
- C) 5
- D) 20
8 Question 8
Maya picks 3 of her 7 books for a trip. How many ways can she pick?Type the answer.
9 Question 9
Roll a die, P(4)- A) P(4) = 6
- B) P(4) = 1
- C) P(4) = 16
- D) P(4) = 15
10 Question 10
Pick a number from 1 to 25, P(not multiple of 5)Type the answer.
11 Question 11
The odds for A are 3 : 5, find P(A)- A) P(a) = 35
- B) P(a) = 8
- C) P(a) = 3
- D) P(a) = 38
12 Question 12
The odds against win are 15 : 5, find P(win)Type the answer.
13 Question 13
A coin is flipped 50 times and lands heads 28 times, find the experimental probability of heads- A) 2850%
- B) 50%
- C) 560%
- D) 56%
14 Question 14
A die is rolled 36 times and 5 comes up 0 times, find the experimental probability of rolling a 5Type the answer.
15 Question 15
Flip 2 coins, P(two heads)- A) P(2 heads) = 14
- B) P(2 heads) = 4
- C) P(2 heads) = 1
- D) P(2 heads) = 13
16 Question 16
Roll two dice, P(sum more than 3)Type the answer.
17 Question 17
A bag has 4 red and 6 blue marbles, 2 are picked at random, P(both red)- A) P(all red) = 215
- B) P(all red) = 45
- C) P(all red) = 6
18 Question 18
3 cards are dealt from 52, P(all kings)Type the answer.
19 Question 19
Roll a die, P(1 or 6)Type the answer.
20 Question 20
Pick a card from 52, P(jack or black)Type the answer.
21 Question 21
Flip a coin and roll a die, P(heads and 6)Type the answer.
22 Question 22
A bag has 5 white and 5 black marbles, two are picked without replacement, P(both black)Type the answer.
23 Question 23
Two-way table: boys 12 cat 8 dog, girls 10 cat 20 dog; P(dog)Type the answer.
24 Question 24
Two-way table: men 20 left 5 right, women 10 left 15 right; P(woman or right)Type the answer.
25 Question 25
Boys 12 cat 8 dog, girls 10 cat 20 dog, P(dog given girl)Type the answer.
26 Question 26
Boys 15 bike 25 walk, girls 20 bike 20 walk, P(girl given bike)Type the answer.
27 Question 27
40 students: 22 play soccer, 15 play tennis, 8 play both, P(both)- A) P(both) = 15
- B) P(both) = 11
- C) P(both) = 7
- D) P(both) = 14
28 Question 28
P(sun) = 0.6, P(walk given sun) = 0.8, P(walk given no sun) = 0.3, find P(sun given walk)Type the answer.
29 Question 29
A game: win $10 with probability 15, lose $2 otherwise, expected value- A) E = $0.40
- B) E = $0.04
- C) E = $4
30 Question 30
A game: win $5 with probability 12, win $1 with probability 14, lose $10 otherwise, expected valueType the answer.
31 Question 31
Find the probability of exactly 1 head in 3 coin flips.- A) P(1 head) = 18
- B) P(1 head) = 38
- C) P(1 head) = 3
32 Question 32
Roll a die 5 times, probability of exactly 1 oneType the answer.