A jar of 70 candies has the following colors: 28 orange, 7 white, 14 brown, and 21 yellow.

What is the probability of randomly drawing an orange candy, replacing it, and drawing another orange candy?

1 answer

There are a total of 70 candies in the jar, and 28 of them are orange.

When the first orange candy is drawn and replaced, the probability of drawing another orange candy does not change. Therefore, the probability of drawing an orange candy and replacing it is the same as the probability of drawing an orange candy from the original jar.

The probability of randomly drawing an orange candy from the original jar is 28/70 = 4/10 = 2/5.

Therefore, the probability of randomly drawing an orange candy, replacing it, and drawing another orange candy is (2/5) * (2/5) = 4/25.