AP Statistics · Topic 4.3
Introduction to Probability Practice
Part of Probability, Random Variables, and Probability Distributions.(VAR-4.A)
Practice questions
17
Sample questions
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Sample 1difficulty 1/5
A fair coin is flipped twice.
What is the probability of exactly one head?
- Acheck_circle
0.50
- B
0.25
- C
1.00
- D
0.75
Why
Outcomes: HH, HT, TH, TT. Two have exactly 1 head: 2/4 = 0.5.
- A
Sample 2difficulty 1/5
A probability is always in
- A
[0, 100]
- B
Any real number
- C
[−1, 1]
- Dcheck_circle
[0, 1]
Why
P(A) ∈ [0, 1].
- A
Sample 3difficulty 1/5
A fair six-sided die is rolled.
What is P(rolling a number greater than 4)?
- A
1/6
- B
2/3
- Ccheck_circle
1/3
- D
1/2
Why
Favorable: 5, 6 = 2 outcomes. P = 2/6 = 1/3.
- A
Sample 4difficulty 2/5
Events A and B have P(A) = 0.5, P(B) = 0.4, P(A and B) = 0.2.
What is P(A or B)?
- A
0.9
- Bcheck_circle
0.7
- C
0.2
- D
1.1
Why
P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 0.4 - 0.2 = 0.7.
- A
Sample 5difficulty 2/5
Two cards drawn WITH replacement from a standard 52-card deck.
P(both hearts)?
- A
1/8
- B
1/4
- C
13/52
- Dcheck_circle
1/16
Why
With replacement: (13/52)(13/52) = (1/4)^2 = 1/16.
- A