SAT Math · Topic 3.5

Probability and Conditional Probability Practice

Part of Problem-Solving and Data Analysis.

Practice questions

35

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Sample questions

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Sample 1difficulty 2/5
$In a survey of 150 people: 40 like coffee only, 30 like tea only, 50 like both, 30 like neither. How many like coffee (including those who like both)?$
- A
  $90$
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- B
  $100$
- C
  $40$
- D
  $70$
Why
$40 + 50 = 90$
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Sample 2difficulty 2/5
$A weather forecast says there is a 30% chance of rain. What is the probability it does NOT rain?$
- A
  $50%$
- B
  $100%$
- C
  $70%$
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- D
  $30%$
Why
$1 - 0.30 = 0.70 = 70\%$
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Sample 3difficulty 2/5
$A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of drawing a blue marble?$
- A
  $1/2$
- B
  $1/3$
- C
  $1/4$
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- D
  $3/12$
Why
$P(\text{blue}) = 3/12 = 1/4$
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Sample 4difficulty 2/5
$A school surveyed 200 students. The two-way table shows preferences. Cats: 60 boys, 40 girls. Dogs: 50 boys, 50 girls. How many students prefer dogs?$
- A
  $150$
- B
  $90$
- C
  $100$
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- D
  $110$
Why
$50 + 50 = 100$
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Sample 5difficulty 3/5
$Using the data from problem 14, what is the probability that a randomly chosen woman prefers coffee?$
- A
  $70/120$
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- B
  $70/200$
- C
  $70/100$
- D
  $120/200$
Why
$P(\text{coffee} | \text{woman}) = 70/120$
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