10 green balls. You are allowed to move the balls between
the boxes so that There are two boxes, one containing 10 red
balls and the other containing when you choose a box at
random and a ball at random from the chosen box, the
probability of getting a red ball is maximized. This maximum
probability is
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Answer Posted / m4a1_cs
how this can be???
the probability for selecting red box is 1/2 but randomly if
we select green box, the probability will be 0.
so, total probability for this case is 0.5.
now consider the other case, 9 red balls are transferred to
green ball box. now total balls in that box will be 19.
total probability = probability to select 1st box +
probability to select 2nd box
= (1/2)*(1C1/1C1)+(1/2)*(9C1/19C1)
= (1/2)*(1+9/19)
= (1/2)*(28/19)
= 14/19
| Is This Answer Correct ? | 24 Yes | 3 No |
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