177k views
1 vote
10.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 orange candy?

User Wyx
by
7.8k points

1 Answer

3 votes

The total number of candies in the jar is 70, out of which 14 are brown. Therefore, the number of candies that are not brown is 70 - 14 = 56.

To find the probability of drawing a candy that is not brown, replacing it, and then drawing an orange candy, we can use the multiplication rule of probability. According to this rule, the probability of two independent events occurring together is the product of their individual probabilities.

So, the probability of drawing a candy that is not brown on the first draw is 56/70. After replacing the candy, there are still 70 candies in the jar, so the probability of drawing an orange candy on the second draw is 28/70.

Multiplying these probabilities, we get:

(56/70) x (28/70) = 0.16

Therefore, the probability of randomly drawing a candy that is not brown, replacing it, and then drawing an orange candy is 0.16 or 16%.

User Olshansky
by
8.3k points