A bag contains 10 blue marbles, 20 green marb...
A bag contains 10 blue marbles, 20 green 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
• a)
1/36
• b)
1/6
• c)
1/4
• d)
1/3
A bag contains 10 blue marbles, 20 green marbles and 30 red marbles. A...
The given condition corresponds to sampling with replacement and with order.
No 2 marbles have the same color i.e. Drawn 3 different marble.
So total number of ways for picking 3 different marbles = 3! = 6.
Probability of getting blue, green, red in order

[Since 6 ways to get the marbles]
= 1/6
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A bag contains 10 blue marbles, 20 green 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 isa)1/36b)1/6c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer?
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