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Probability of Hitting a Bottle

CMAT 2024 · Quantitative Techniques & Data Interpretation · Medium · Modern Math

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A player can take a maximum of 4 chances to hit a bottle with a flying disc. The probability of hitting the bottle at the first, second, third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively. What is the probability that the player hits the bottle with the flying disc?

  1. A.

    0.6573

  2. B.

    0.2574

  3. C.

    0.7426

  4. D.

    0.3427

Answer

C

Explanation

Probability of missing all four shots =(1−0.1)×(1−0.2)×(1−0.35)×(1−0.45)=0.9×0.8×0.65×0.55=0.2574= (1 - 0.1) \times (1 - 0.2) \times (1 - 0.35) \times (1 - 0.45) = 0.9 \times 0.8 \times 0.65 \times 0.55 = 0.2574.

Probability of hitting at least once=1−0.2574=0.7426\text{Probability of hitting at least once} = 1 - 0.2574 = 0.7426

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