MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
An urn contains 4 red, 5 blue and 3 green balls. Three balls are drawn successively without replacement.
(i) Find the probability that the balls are drawn in the exact order red, blue and green.
(ii) Determine the probability of obtaining exactly one blue ball in the three draws, given that the first ball drawn is red.
(iii) If it is known that at least one red ball is obtained among the three draws, find the probability that all three balls drawn are red.