In a cricket match, a batsman hits a boundary 15 times out of 60 balls he plays. Find the probability that he didn't hit a boundary in next ball :

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 0.75
  2. 0.15
  3. 0.60
  4. 0.18

Answer (Detailed Solution Below)

Option 1 : 0.75
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Detailed Solution

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Given:

Total balls played by the batsman = 60

Balls where he hits a boundary = 15

Balls where he doesn't hit a boundary = 60 - 15 = 45

Formula Used:

Probability of not hitting a boundary = (Number of balls where boundary is not hit) / (Total balls played)

Calculation:

Probability of not hitting a boundary:

⇒ Probability = 45 / 60

⇒ Probability = 3 / 4

⇒ Probability = 0.75

The probability that the batsman doesn't hit a boundary in the next ball is 0.75.

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