Switch Or Not

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You are presented with three boxes. One of them has a red ball inside and the other two have a black ball inside each of them. You are asked to pick up the one with the red ball and you pick one. Now, one of the other boxes is opened and it is found to have a black ball.

You are presented with a chance to change your box with the one that is left closed. Will you change your box? Why or why not?

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    Probability of picking a red ball is 1/3.

    When the box with black box is opened, probability of getting the red ball from the last box is 2/3 because we have taken out a black ball.
    While, if you open the first box, the probability is still 1/3.

    Hence, we should change the box to increase the probability of getting a red ball.

    bhola99 Expert Answered on 22nd February 2022.
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