Question

number 1 to 20 are written on 20 separate slips and put in a box one slip is randomly chosen from the box find the probability of getting :(1) a number which is a multiple of 3 not of 9 (2) not a prime number​

Answer 1

Answer:

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Answer 2

The probability of getting a number which is a multiple of 3 not of 9 is $\frac{1}{5}$ and the probability of not a prime number is $\frac{3}{5}$.

Step-by-step explanation:

Number 1 to 20 are written on 20 separate slips and put in a box.

Number of outcomes = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} = 20

1) One slip is randomly chosen from the box.

a number which is a multiple of 3 not of 9.

Number of favourable outcomes = {3, 6, 12, 15} = 4

Probability = $\frac{4}{20} = \frac{1}{5}$

2) not a prime number.

Number of favourable outcomes = {1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20} = 12.

Probability = $\frac{12}{20} = \frac{3}{5}$.

Hence, the probability of getting a number which is a multiple of 3 not of 9 is $\frac{1}{5}$ and the probability of not a prime number is $\frac{3}{5}$.