Question

A container contains tiles numbered from 1 through 40. A tile is drawn randomly and replaced. Then a second tile is drawn randomly. What is the probability that the first tile is number 7 and the second tile is number 25?

Answer 1

Answer:

The correct answer is $\frac{1}{1600}$.

Step-by-step explanation:

A container contains tiles numbered from 1 through 40.

Let the experiment be to drawn a tile randomly from the container. The draws are carried on by replacement method. Then a second tile is drawn randomly.

Probability that the first tile is number 7 = $\frac{Possible outcomes}{Total outcomes}$ = $\frac{1}{40}$

Probability that the second tile is number 25= $\frac{Possible outcomes}{Total outcomes}$ = $\frac{1}{40}$

Thus the probability of the first tile is number 7 and the second tile is number 25 is given by $\frac{1}{1600}$.