GATE Question > 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

Correct answer is option 'B'. Can you explain this answer?

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

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? for GATE 2023 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 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? covers all topics & solutions for GATE 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.

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? for GATE 2023 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 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? covers all topics & solutions for GATE 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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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