Question

"A snack size bag of Skittles has 18 purple, 6 yellow, 22 red, and 7

orange. Candies are pulled from the bag in succession without
replacement. What is the probability that first two candies drawn were red and the third candy is purple

Answer 1

The probability of drawing two red candies first and then a purple candy from a bag of Skittles can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. This can be found by multiplying the number of red candies in the bag by the number of red candies remaining after the first two draws, and then multiplying that by the number of purple candies in the bag. The probability is then calculated by dividing this value by the total number of candies in the bag.

Step-by-step explanation:

To find the probability, we need to calculate the ratio of the number of favorable outcomes to the total number of possible outcomes. The number of favorable outcomes is the number of red candies in the bag (22) multiplied by the number of red candies remaining after the first two draws (21), multiplied by the number of purple candies in the bag (18). The total number of possible outcomes is the total number of candies in the bag (18 purple + 6 yellow + 22 red + 7 orange).

So the probability is (22 * 21 * 18) / (18 + 6 + 22 + 7).