A bag contains 10 balls: 4 white and 6 black. A ball is removed at random and replaced; a second ball is then removed. What is t

Question

A bag contains 10 balls: 4 white and 6 black.
A ball is removed at random and replaced; a second ball is then removed.
What is the probability that the balls removed were the same colour?
(Answer is in its simplest form.)

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Kinsley 3 months 2022-02-17T15:21:15+00:00 1 Answer 0 views 0

Answers ( )

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    2022-02-17T15:23:01+00:00

    first case

    1. probability of white ball in first replacement P(w)=4/10
    2. probability of black ball in first replacement P(b)=6/10
    3. probability of white ball in second replacement P'(w)=3/9
    4. probability of black ball in second replacement P'(b)=5/9

    Step-by-step explanation:

    now for ,

    the probability that the balls removed were the same colour =P(w)×P'(w)+P'(b)×P(b)

    =7/15

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45:7+7-4:2-5:5*4+35:2 =? ( )