Question

Nine tiles numbered 1 through 9 are placed in a bag. A tile is randomly drawn and replaced. Then a
second tile is randomly drawn. What is the probability the first tile drawn and the second tile drawn
are both even numbers?​

Answer 1

Answer:

16/81

Step-by-step explanation:

As the tile is taken and then replaced this means that the probability of the second event is not impacted by the probability of the first (they are independent)

As there are 9 tiles and 4 of them are even, the probability that the first tile drawn is even is 4/9.

There are still 9 tiles and still 4 of them are even for the second tile being drawn so this probability is then also 4/9.

If we want to find the probability of both events we should multiply together these two independent probabilities.

So: $\frac{4}{9} *\frac{4}{9} =\frac{16}{81}$