SOLUTION: At a candy store, there are 200 pieces of bubble gum in a bubble gum machine. * Forty pieces are blue. * Thirty-five pieces are red. * Thirty pieces are green.

Algebra ->  Probability-and-statistics -> SOLUTION: At a candy store, there are 200 pieces of bubble gum in a bubble gum machine. * Forty pieces are blue. * Thirty-five pieces are red. * Thirty pieces are green.       Log On


   



Question 412485: At a candy store, there are 200 pieces of bubble gum in a bubble gum machine.
* Forty pieces are blue.
* Thirty-five pieces are red.
* Thirty pieces are green.
* Fifty pieces are yellow.
* Forty-five pieces are white.
If four pieces of bubble gum are purchased, what is the probability of getting at least two pieces of red gum?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
there are 200 pieces of bubble gum in a bubble gum machine of which:
* Forty pieces are blue.
* Thirty-five pieces are red* P(RED)= .175
* Thirty pieces are green.
* Fifty pieces are yellow.
* Forty-five pieces are white.
If four pieces of bubble gum are purchased...
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p = .175 AND q = .825
nCx = n%21%2F%28x%21%28n-x%29%21%29
what is the probability of getting at least two pieces of red gum?
P(at least two pieces of red gum) = 1 - P(1) - P(0)
P = 1- 4(.175)*(.825)^3 - .825^4 = .1437