An urn contains 9 red, 7 white and 4 black balls. A ball is drawn at random. Find the probability that the ball drawn is
(i) red (ii) white (iii) red or white
(iv) white or black (v) not white
Correct Answer - B
`(b)` Let `A` be the event of drawing a black ball.
`A_(1)`, the event of choosing the first box.
`A_(2)`, the event of choosing the second box....
Let X be the random variable defined as the number of red balls.
Then X = 0, 1
P(X = 0) = \(\frac{3}{4}\times\frac{2}{3}=\frac{6}{12}=\frac{1}{2}\)
P(X = 1) = \(\frac{1}{4}\times\frac{3}{3}+\frac{3}{4}\times\frac{1}{3}=\frac{6}{12}=\frac{1}{2}\)
Probability Distribution Table:
X
0
1
P(X)
\(\frac{1}{2}\)
\(\frac{1}{2}\)