There are two boxes. Box I contains one white 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 whiter card, P wins and the game stops. If P finds th

examrobotsa's picture

Submitted by examrobotsa on

Q: 57 (CAPF/2016)
There are two boxes. Box I contains one white 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 whiter 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 the black card.
Which one of the following is correct?

question_subject: 

Science

question_exam: 

CAPF

stats: 

0,5,12,4,2,6,5

keywords: 

{'box ii': [0, 0, 0, 1], 'black cards': [0, 0, 0, 1], 'whiter card': [0, 0, 0, 1], 'boxes': [0, 0, 0, 1], 'black card': [0, 0, 0, 1], 'white card': [0, 0, 0, 1], 'card': [0, 0, 0, 2], 'game': [0, 0, 4, 1], 'box': [0, 0, 3, 3]}

Here's the reasoning behind this answer:

  • The game stops when either P or Q draws the white card.
  • If P draws the white card, P wins and the game stops.
  • If P draws the black card, the game continues and Q draws a card from Box II.
  • If Q draws the black card from Box II, the game stops and both P and Q lose.
  • If Q draws the white card from Box II, Q wins and the game stops.
  • Therefore, there is a possibility that both P and Q may lose the game.