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If the Probability of Winning a Game is 0.4, the Probability of Losing It is - Mathematics

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Question

If the probability of winning a game is 0.4, the probability of losing it is

Options

  • 0.96

  • `1/0.4`

  • `0.6`

  • none of these

MCQ

Solution

0.6

Explanation:

Let E be the event of winning a game.

Then, ( not E) is the event of not winning the game or of losing the game.

Then, P(E) = 0.4

Now, P(E) + ​P(not E) = 1

⇒ 0.4 + ​P(not E) = 1

​⇒​ P(not E) = 1− 0.4 = 0.6

∴ P(losing the game) = ​P(not E) ​= 0.6

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Chapter 15: Probability - Multiple choice Questions [Page 706]

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RS Aggarwal Mathematics [English] Class 10
Chapter 15 Probability
Multiple choice Questions | Q 13 | Page 706
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