Jelly bean problem

Question

You have a jar of 12 jelly beans. There are 4 each of red, green and white. If you cannot see the colors inside the jar, how many jelly beans do you need to take out before you can be sure you have at least one red?

answer: one jelly bean I will remove from the jar. Is this correct?

Answer 1

It will be 9, since the worst case scenario you pick the first 8 green or white, the 9th one has to be a red.

Answer 2

Let's break it down into steps and equations:

1. Define the problem:
2. You have a jar of 12 jelly beans.
3. There are 4 each of red, green, and white jelly beans.

Calculate the maximum number of non-red jelly beans:

1. Since there are 4 each of green and white, the maximum number of non-red jelly beans you could pick in a row is 8 (4 green + 4 white).

Determine the minimum number of jelly beans needed for at least one red:

1. You need to pick jelly beans until you are sure you have at least one red. The worst-case scenario is that you pick all the non-red jelly beans before getting a red one.
2. So, the minimum number of jelly beans needed (x) can be found using the equation:

x= maximum non-red jelly beans +1

x= 8+1 = 9

x=9 ...Answer