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 a candy that is not brown, replacing it, and then drawing a white candy?

1 answer

There are a total of 70 candies in the jar.

To calculate the probability of drawing a candy that is not brown and replacing it, we need to find the number of candies that are not brown.

The number of candies that are not brown = total number of candies - number of brown candies
= 70 - 14
= 56 candies

Since we are replacing the candy after each draw, the probability of drawing a candy that is not brown is:

Probability of drawing a candy that is not brown = (number of candies that are not brown) / (total number of candies)
= 56 / 70
= 0.8 or 80%

Next, we need to calculate the probability of drawing a white candy from the 70 candies (after replacing the candy drawn in the first step).

The number of white candies in the jar = 7

The probability of drawing a white candy = (number of white candies) / (total number of candies)
= 7 / 70
= 0.1 or 10%

Therefore, the probability of randomly drawing a candy that is not brown, replacing it, and then drawing a white candy is:

Probability = (probability of drawing a candy that is not brown) * (probability of drawing a white candy)
= 0.8 * 0.1
= 0.08 or 8%