SOLUTION: Five balls are randomly drawn without replacement from a bag containing 4 red balls and 6 black balls. What is the probability that at least 3 red balls will be drawn?

Question 1117672: Five balls are randomly drawn without replacement from a bag containing 4 red balls and 6 black balls. What is the probability that at least 3 red balls will be drawn?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This would be 3 or 4 red balls.
Total number of ways is 10C5 or 252
For 3, it is 4C3 red and 6C2 for the other, black. This is 4*15 or 60 ways.
For 4, it is 4C4 and 6C1, and this is 1*6 or 6 ways.
There are 66 ways, so the probability is 66/252 or 0.262.
RELATED QUESTIONS
A bag containing 14 identical balls, 4 of which are red, 5 black and 5 white,6 balls are... (answered by ikleyn)

two balls are drawn at random without replacement from a box containing 6 red balls, 4... (answered by ewatrrr)

A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without... (answered by FrankM)

Two balls are drawn without replacement from a box containing 4 red and 3 yellow balls.... (answered by Fombitz)

If five balls are drawn from a bag containing six green balls, eight blue balls, and ten... (answered by Boreal)

From a bag containing 4 white and 6 black balls, two balls are drawn at random. If the... (answered by math_helper)

A bag contains three black balls,four white balls and five red balls.Three balls are... (answered by ikleyn)

Five balls are drawn from a bag containing six white and four black balls? What is the... (answered by dkppathak)

A bag contains 5 red balls and 3 blue balls. If two balls are drawn at random without... (answered by ikleyn,greenestamps)