Use P(A | B) = P(A and B) ÷ P(B)
11th grade (Year 12 in England) · 16 questions · Common Core: HSS.CP.A.3, HSS.CP.B.6 · England: A-level Statistics
Name
Date
Score/ 16
Question 1
The probability it rains tomorrow is 0.7. If it rains, the probability the bus is late is 0.25. What is the probability that it rains and the bus is late?
Answer
Question 2
P(B) = 0.4 and P(A and B) = 0.16. Find P(A | B).
Answer
Question 3
Phone survey: Android: under 18 33, 18+ 14 iPhone: under 18 5, 18+ 30 A person aged 18+ is chosen at random. Find P(iPhone | 18+) as a fraction in simplest form.
Answer(as a fraction)
Question 4
The probability it rains tomorrow is 0.7. If it rains, the probability the bus is late is 0.5. What is the probability that it rains and the bus is late?
Answer
Question 5
P(B) = 0.25 and P(A and B) = 0.15. Find P(A | B).
Answer
Question 6
Phone survey: Android: under 18 29, 18+ 10 iPhone: under 18 7, 18+ 14 A person aged 18+ is chosen at random. Find P(iPhone | 18+) as a fraction in simplest form.
Answer(as a fraction)
Question 7
The probability it rains tomorrow is 0.4. If it rains, the probability the bus is late is 0.75. What is the probability that it rains and the bus is late?
Answer
Question 8
P(B) = 0.2 and P(A and B) = 0.05. Find P(A | B).
Answer
Question 9
Phone survey: Android: under 18 16, 18+ 9 iPhone: under 18 11, 18+ 24 A person aged 18+ is chosen at random. Find P(iPhone | 18+) as a fraction in simplest form.
Answer(as a fraction)
Question 10
The probability it rains tomorrow is 0.6. If it rains, the probability the bus is late is 0.25. What is the probability that it rains and the bus is late?
Answer
Question 11
P(B) = 0.25 and P(A and B) = 0.0625. Find P(A | B).
Answer
Question 12
Phone survey: Android: under 18 37, 18+ 14 iPhone: under 18 31, 18+ 23 A person aged 18+ is chosen at random. Find P(iPhone | 18+) as a fraction in simplest form.
Answer(as a fraction)
Question 13
The probability it rains tomorrow is 0.7. If it rains, the probability the bus is late is 0.5. What is the probability that it rains and the bus is late?
Answer
Question 14
P(B) = 0.2 and P(A and B) = 0.12. Find P(A | B).
Answer
Question 15
Phone survey: Android: under 18 8, 18+ 18 iPhone: under 18 7, 18+ 38 A person aged 18+ is chosen at random. Find P(iPhone | 18+) as a fraction in simplest form.
Answer(as a fraction)
Question 16
The probability it rains tomorrow is 0.6. If it rains, the probability the bus is late is 0.25. What is the probability that it rains and the bus is late?
Answer
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