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Mathematics

For John, the probability of winning a particular game is 0.2. If he played 40 games, how many games did he lose ?

  1. 8

  2. 16

  3. 32

  4. 24

Probability

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Answer

Given,

Probability of winning a particular game is 0.2

Since, winning and losing are complementary events.

∴ P(winning) + P(loosing) = 1

⇒ 0.2 + P(loosing) = 1

⇒ P(loosing) = 1 - 0.2 = 0.8

Let no. of matches lost be x.

Given,

Total matches played = 40.

⇒ P(loosing a match) = No. of matches lostTotal matches played\dfrac{\text{No. of matches lost}}{\text{Total matches played}}

⇒ 0.8 = x40\dfrac{x}{40}

⇒ x = 0.8 × 40 = 32.

Hence, Option 3 is the correct option.

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