eBay Interview Question | Cards
Question
There’s one box – has 12 black and 12 red cards, 2nd box has 24 black and 24 red; if you want to draw 2 cards at random from one of the 2 boxes, which box has the higher probability of getting the same colour?
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Answer ( 1 )
The Box with 24 Black and 24 red have a higher probability of getting the same color.
SUppose u draw a red ball from both the boxes
Remaining Cards in the two boxes are 11 Red 12 Black & 23 red 24 black
probability of Getting the red ball again will be
11c1/23c1 in the first box
23c1/47c1 in the second box
Ultimately 23/47 > 11/23 which means the second box has more probability than first box