If a number is selected at random from each of the sets p = {1,
MATHEMATICS
WAEC 2014
If a number is selected at random from each of the sets p = {1, 2, 3} and Q = {2, 3, 5}, find the probability that the sum of the numbers is prime
- A. \(\frac{5}{9}\)
- B. 1\(\frac{4}{9}\)
- C. \(\frac{1}{3}\)
- D. \(\frac{2}{9}\)
Correct Answer: C. \(\frac{1}{3}\)
Explanation
p = { 1, 2, 3}
Q = {2, 3, 5}
prob(prime number) = prob(1 and 2) or
= prob(2 and 3) or
= prob(3 and 2)
There are three possibilities of the sum being prime
Total possibility = 9
probability(sum being prime) = \(\frac{3}{9}\)
= \(\frac{1}{3}\)
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