Question

A number from 1 to 10 is chosen at random. What is the probability of choosing 5 or an even number?

• A. 2/5
• B. 3/5
• C. 1/5
• D. 4/5

Answer 1

The correct option is B

3/5

The sample space is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

n(S) = 10

P(5) = $\frac{1}{10}$

P(even number) = $\frac{5}{10}$

P(5 and an even number) = 0

P(5 or an even number) = P(5) + P(even number)

=$\frac{1}{10}$ + $\frac{5}{10}$

= $\frac{6}{10}$

= $\frac{3}{5}$