An urn contains 5 black balls and 2 white balls. Four balls are removed at random...
An urn contains 5 black balls and 2 white balls. Four balls are removed at random from the urn. The random variable X is the number of white balls among the four balls that have been removed. Find P(X = 2), i.e. the probability that X = 2.
A. 1/7
B. 2/7
C. 4/21
D. 1/42
E. None of the above answers is correct
Having a really hard time remembering how to do these types of problems! Please be detailed in how the answer is found. THANK YOU! :D
Homework Answers
We have 5 black balls and 2 white balls
Total 7 balls in urn
We have to take 4 balls randomly out of 7
I.e. 7c4
Let X is number of white balls
Find P(X=2)
We want to take 2 white balls and 2 blacks balls
(2c2 * 5c2)/ (7c4) = 10/35 = 2/7
Answer :- [ B ]
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