There is a bag filled with 5 blue and 6 red marbles. A marble is taken at random from the bag, the colour is noted and then it is rep

Question

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

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Ngọc Diệp 3 years 2021-08-10T20:33:31+00:00 1 Answers 538 views 0

Answers ( )

  1. Ladonna
    -2
    2021-08-10T20:35:28+00:00
    Reply

    There are 6+5 marbles.


    Of those, 5 are red.


    The chances of drawing a red marble are 5/11


    Since you replace the marble you drew, the chances each draw remain 5/11


    You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time


    5/11*5/11=25/121

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