Kuulchat - J.H.S / Grade 7 - 9 mathematics Probability Practice Test Questions

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PROBABILITY

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1.

Given that K = {1, 2, 3, ... 11}:

(i)

list the prime numbers in K;

(ii)

find the probability that a number selected at random from the set K is not a prime number.

Show Solution

K = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}:

(i)

Prime numbers in K = {2, 3, 5, 7, 11}

Prime Numbers

Prime numbers are numbers with only two factors (1 and itself). Thus only 1 and the number itself can divide the number without a remainder.

Note: 1 is not a prime number.

(ii)

Probability

Probability = $\frac{Number of possible selection}{Number of samples}$

Total number of elements in K = 11

Non-prime numbers in K = {1, 4, 6, 8, 9, 10}

Number of non-prime numbers in K = 6

Alternatively,

Number of prime numbers in K = 5

Number of non-prime numbers in K = Total number of elements in K - Number of prime numbers in K

Number of non-prime numbers in K = 11 - 5 = 6

P(Non-prime) = $\frac{6}{11}$

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PROBABILITY

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