Penny has a cup containing 10 quarters, 8 dimes, and 2 nickels. If Penny randomly draws with replacement, find the probability she must draw six times to draw a dime

0.4%

Step-by-step explanation:

In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.

This probability would be the amount of dimes divided by the total number of coins, as follows:

Total coins = 10 + 8 + 2 = 20 coins.

So the probability would be: 8/20 = 2/5

The final probability would then be:

(2/5) ^ 6 = 0.004

In other words, the probability of this event occurring 6 times in a row is 0.4%