SOLUTION: You have a bag of Skittles. The bag contains 50 Skittles. There are 5 colors, and 10 of each color. What is the probability of choosing the same color 3 times in a row? (You ea

Algebra ->  Probability-and-statistics -> SOLUTION: You have a bag of Skittles. The bag contains 50 Skittles. There are 5 colors, and 10 of each color. What is the probability of choosing the same color 3 times in a row? (You ea      Log On


   

Question 310548: You have a bag of Skittles. The bag contains 50 Skittles. There are 5 colors, and 10 of each color. What is the probability of choosing the same color 3 times in a row? (You eat each Skittle.) Express your answer as a fraction in simplest form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's pick red (R) as our color.
First red.
P%28R%29=10%2F50=1%2F5
Skittle is not replaced.
Second red
P%28R%29=9%2F49
Skittle is not replaced.
Third red
P%28R%29=8%2F48=1%2F6
P%28R%2CR%2CR%29=%281%2F5%29%289%2F49%29%281%2F6%29=3%2F490