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  • A bag contain 4 balls. Two balls are drawn at random (without replacement) and are found to be white. What is the probability that all balls in the bag are white?      

A bag contain 4 balls. Two balls are drawn at random (without replacement) and are found to be white. What is the probability that all balls in the bag are white?

 

 

 

 
 
 
 
 

Answers (1)

we know that the number of white balls count be less than 2. Now there are different comes for the number of white balls in the bag. the total comes are ^{2}C_{2}+\, ^{3}C_{2}\, +^{4}C_{2}
               = \frac{2!}{2!\times 0}+\frac{3!}{2!\times 1!}+\frac{4!}{2!\times 2!}
             = 1+3+6= 10
\therefore probability of the care that there are 4 white balls
  ie ^{4}C_{2}= 6
Hence the probability that all balls in the bag are white is  \frac{6}{10}\, or\, \frac{3}{5}
                                   

Posted by

Ravindra Pindel

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