Question

Can you help me with this algebra 2 question?

Answer 1

`C_(9,6)(11/16)^6(5/16)^3~~0.2707~~27.1%`

Explanation:

We have 16 checkers (11 red, 5 black), meaning that on a random draw, the probability of drawing a red checker is `11/16`.

We're going to draw 9 times and we want the probability of drawing red 6 times. To do this, we can use binomial probability:

`sum_(k=0)^(n)C_(n,k)(p)^k(~p)^(n-k)`

We set `p=11/16, :.~p=5/16,n=9,k=6`

`C_(9,6)(11/16)^6(5/16)^3~~0.2707~~27.1%`