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?

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Answer:

The correct answer is [tex]\frac{1}{1600}[/tex].

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 = [tex]\frac{Possible outcomes}{Total outcomes}[/tex] = [tex]\frac{1}{40}[/tex]

Probability that the second tile is number 25= [tex]\frac{Possible outcomes}{Total outcomes}[/tex] = [tex]\frac{1}{40}[/tex]

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

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