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There are two boxes. Box I contains one white card and two black cards and Box II contains one white card and a black card. Two persons P and Q play a game. P picks a card randomly from Box I. If P finds the white card, P wins and the game stops. If P finds the black card, Q draws a card randomly from Box II. If Q finds the white card Q wins. The game stops whether Q draws the white card or P draws the white card. Which one of the following is correct?

There are two boxes. Box I contains one white card and two black cards and Box II contains one white card and a black card. Two persons P and Q play a game. P picks a card randomly from Box I. If P finds the white card, P wins and the game stops. If P finds the black card, Q draws a card randomly from Box II. If Q finds the white card Q wins. The game stops whether Q draws the white card or P draws the white card. Which one of the following is correct? Correct Answer If P loses, Q wins

Calculation

Here, for winning either P or Q has to pick a white card.

Q can get a chance to pick card if and only if P picks a black card i.e. P loses.

Hence, option 2 and 3 get eliminated.

Also, P and Q both can not lose the game as card picking will be continued till any of both pick a white card to win the game and there are limited number of cards. Hence, option 4 also get eliminated.

Now, checking option 1, we find it is correct when P picked a black card and then Q picked a white card.

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