Question

Tickets are numbered 1 to 10. Two tickets are drawn one after the other at random with replacement. Find the probability that the number on one of the ticket is a multiple of 5 and the other is a multiple of 4.

• A. $1/25$
• B. $2/25$
• C. $3/25$
• D. $4/25$

Answer 1

Answer: (B)

$2/25$

Probability = Favorable outcome / Total Outcome

Total Outcomes = $10\times 10=100$ (there will be 10 possibilities each time 'With replacement')

A favourable outcome will be obtained when one of the tickets is a multiple of 5 and the other is a multiple of 4. There are 2 multiple of 5 and 2 multiple of 4 for selection of ball.

Total Favorable Outcomes = $2\times (2+2)=4$

Probability = $\frac{8}{100}=\frac{2}{25}$