Sarah and Tom both answer the question below. In a bag there are some black counters and some white counters. Two counters are taken from the bag at random. Work out the probability that both counters are black. Sarah assumes that the first counter taken is replaced. Tom assumes that the first counter is not replaced. Which of the following statements is correct?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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please send correct answer Q9

9
Sarah and Tom both answer the question below.
In a bag there are some black counters and some white counters.
Two counters are taken from the bag at random.
Work out the probability that both counters are black.
Sarah assumes that the first counter taken is replaced.
Tom assumes that the first counter is not replaced.
Which of the following statements is correct?
Sarah's answer will be bigger than Tom's
They will both get the same answer
Tom's answer will be bigger than Sarah's
More information is needed
10
If probability events A and B are independent what can we be sure of?
Р (AnB) — P(А) Р (В)
P(A) + P(B) = 1
P(A) = 0
A and B are mutually exclusive
Transcribed Image Text:9 Sarah and Tom both answer the question below. In a bag there are some black counters and some white counters. Two counters are taken from the bag at random. Work out the probability that both counters are black. Sarah assumes that the first counter taken is replaced. Tom assumes that the first counter is not replaced. Which of the following statements is correct? Sarah's answer will be bigger than Tom's They will both get the same answer Tom's answer will be bigger than Sarah's More information is needed 10 If probability events A and B are independent what can we be sure of? Р (AnB) — P(А) Р (В) P(A) + P(B) = 1 P(A) = 0 A and B are mutually exclusive
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