Question

in a bag of 400 jelly beans, 25% of the jelly beans are red in color. If you randomly pick a bean from the bag, what is the probability that the jelly bean picked is NOT one of the red jelly beans?

Answer 1

The probability of picking a non-red jelly bean from a bag of 400 jelly beans, with 25% being red, is 3/4 or 75%.

Step-by-step explanation:

If there's a bag of 400 jelly beans with 25% being red, then there are 100 red jelly beans (400 * 25%).

Consequently, the remaining 75% of the jelly beans are not red, which equates to 300 non-red jelly beans (400 * 75%).

The probability that the jelly bean picked is NOT one of the red jelly beans is the number of non-red jelly beans divided by the total number of jelly beans, which can be calculated as 300/400 or simplified to 3/4.

Therefore, the probability that a randomly picked jelly bean is not red is 3/4, which means there's a 75% chance that a jelly bean picked at random will not be red.

Answer 2

25% of 400 is 100.

It means that there are 100 red jelly beans and 300 belly jeans of a different colour in the bag.

Your chance of picking a jelly bean out of the bag which isn't red is 300/400. 300/400 is equal to 75% therefore the chance of not selecting a red jelly bean out of the bag is 0.75.