Question

There are 8 jellybeans in a bag. The probability of randomly picking two orange jellybeans without replacement is 3/14. How many orange jellybeans are in the bag?​

Answer 1

4

Explanation:

So we must find the number where: x/8 * (x-1)/7 = 3/14. (x/8 = first pick, x-1/7 = second pick)

x/8 * (x-1)/7 = 3/14

(multiply both sides by 56) x(x - 1) = 12

(simplify) x^2 - x - 12 = 0

(solve) x = 4, x = -3

-3 can not work in this situation.