Use the counting techniques from the last chapter. A bag contains two red marble
ID: 3197885 • Letter: U
Question
Use the counting techniques from the last chapter. A bag contains two red marbles, two green ones, one fluorescent pink one, two yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink one.
Use the counting techniques from the last chapter. A bag contains two red marbles, two green ones, one fluorescent pink one, two yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink oneExplanation / Answer
The bag contains two red marbles, two green ones, one fluorescent pink one, two yellow ones, and three orange ones.
In all there are 2 + 2 + 1 + 2 + 3 = 10 marbles.
Since Suzan gets the flouescent pink marble, we are left with 9 other marbles.
In all there are 9C4 = 9! / (4! * 5!) = 126 ways to choose 4 marbles,
The one marble of each color can be chosen in 2,2,2 and 3 ways respectively.
Therefore, there are 2 * 2 * 2 * 3 = 24 ways to choose them.
The probability is 24/126 = 0.1905.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.