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Probability - Quant/Math - CAT 2013

  1. Algebra
  2. Progressions
  3. Averages
  4. Clocks and Calendars
  5. Data Sufficiency
  6. English Grammar
  7. Function
  8. Geometry
  9. Coordinate Geometry
  10. Interest
  11. Mensuration
  12. Mixtures & Alligations
  13. Number System
  14. Percentages
  15. Permutation & Combination
  16. Pipes & Cisterns And Work & Time
  17. Probability
  18. Profit & Loss
  19. Races
  20. Ratio, Proportion
  21. Speed, Time & Distance
  22. Trigonometry
  23. Miscellaneous
  24. General Knowledge
CAT Sample Questions - Question 4 the day : April 20, 2004

The question for the day is from the topic Probability.

A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?

(1) 1   (2)
(3)   (4)

Correct choice - (4) Correct Answer -( )

Explanatory Answer

The man will hit the target even if he hits it once or twice or thrice or all four times in the four shots that he takes.

So, the only case where the man will not hit the target is when he fails to hit the target even in one of the four shots that he takes.

The probability that he will not hit the target in one shot = 1 - =
Therefore, the probability that he will not hit the target in all the four shots =

Hence, the probability that he will hit the target at least in one of the four shots =
1 -
= .

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