Q. 284.3( 4 Votes )

Two balls are drawn at random from a bag containing 2 white, 3 red, 5 green and 4 black balls, one by one without, replacement. Find the probability that both the balls are of different colours.

Answer :

given: 2 white, 3 red, 5 green, 4 black

formula:


two balls are drawn one by one, we have to find the probability that they are of different colours


total possible outcomes are 14C2


therefore n(S)= 14C2=91


let E be the event that all balls are of same colour


E= {WW, RR, GG, BB}


n(E)= 2C2+3C2+5C2+4C2=20


probability of occurrence is




Therefore, the probability of non-occurrence of the event (all balls are different) is




Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :