Gate question: detailed answer?

qwerty123

qwerty123

@qwerty123-ZuiVHD • Oct 18, 2024
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
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  • nareshkumar6539

    nareshkumar6539

    @nareshkumar6539-BKuVbx • Jun 4, 2012

    I think answer is a(1/36) but i am not sure it is 100% correct

    after seeing the colour of marble again he put it in the bag so again total number of marbles is 60
    Required Answer is=P(B)*P(G)*P(R)
    Probability for selecting Blue marble P(B)=10/60
    Probability for selecting Green marble P(G)=20/60
    Probability for selecting Red marble P(R)=30/60
    he did this process 3 times one after the other so multiply the above is required answer
    1/36
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  • pavani abburi

    pavani abburi

    @pavani-abburi-rtXjEI • Jun 4, 2012

    yes as 3 colors are different(independent) you are correct
    0