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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Probability

NDA 2022 · Mathematics · Probability

The probability that a person hits a target is 0 · 5 . What is the...

The probability that a person hits a target is 0⋅50 \cdot 5. What is the probability of at least one hit in 4 shots?

Options

  1. A18\frac{1}{8}
  2. B116\frac{1}{16}
  3. C1516\frac{15}{16}
  4. D78\frac{7}{8}

Correct answer

C. 1516\frac{15}{16}

Step-by-step solution

n=4,P=0.5,q=1−0.5=0.5P(x≥1)=1−P(x=0)=1−(0.5)4=1−116=1516\begin{aligned} & n=4, P=0.5, q=1-0.5=0.5 \\ & P(x \geq 1)=1-P(x=0)=1-(0.5)^4 \\ & =1-\frac{1}{16}=\frac{15}{16}\end{aligned}
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