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  • A bag contains 10 blue marbles, 20 black marbles and 30 red marbles. A marble is drawn from the bag, its colour recorded and it is put back in the bag. This process is repeated 3 times. The probabi

A bag contains 10 blue marbles, 20 black marbles and 30 red marbles. A marble is drawn from the bag, its colour recorded and it is put back in the bag. This process is repeated 3 times. The probability that no two of the marbles drawn have the same colour is

Option: 1

\frac{1}{36}


Option: 2

\frac{1}{6}


Option: 3

\frac{1}{4}


Option: 4

\frac{1}{3}


Answers (1)

best_answer

No. two of the marbles drawn have some color \Rightarrow

we have to draw all three marbles of different colors 

\Rightarrow which can be done by \lfloor3=6 ways

So Req. probability

                           =6 \times\left[\frac{10}{60} \times \frac{20}{60} \times \frac{30}{60}\right]=\frac{1}{6}

Posted by

avinash.dongre

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