An urn contains 4 red balls and 6 blue balls.8 balls select at random with replacement.What is the probability that this sample will contain 4 to 5 balls.

Question

An urn contains 4 red balls and 6 blue balls.8 balls select at random with replacement.What is the probability that this sample will contain 4 to 5 balls.

Answer 1

If I answer the question the way it is written, the answer is 0%

 

or I guess 100% since 8 balls are selected then 4 to 5 will also be selected.

 

 

ARE YOU ASKING????

 

How likely will 4 to 5 of the balls be red?

 

If so we will use a binomial formula

 

8C4 * (.4)^4(.6)^6  + 8C5 * (.4)^5(.6)^6

 

70(.4)^4(.6)^4 + 56(.4)^5(.6)^3  = .35610624

 

About 35.61%