Database-Management-System
November 6, 2023
Programming
November 7, 2023
Database-Management-System
November 6, 2023
Programming
November 7, 2023

Question 10977 – GATE 2005-IT

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

Correct Answer: B

Question 1 Explanation: 
No. of colours = 3(b,g,r)
Total possible combinations = 3! = 6
Probability of blue marble = 10/60[10 + 20 + 30 = 60]
Probability of green marble = 20/60
Probability of red marble = 30/60
The probability that no two of the marbles has same colour = [10/60 * 20/60 * 30/60] = 1/6
A
1/36
B
1/6
C
1/4
D
1/3
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