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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Probability

NDA 2022 · Mathematics · Probability

Five coins are tossed once. What is the probability of getting at...

Five coins are tossed once. What is the probability of getting at most four tails?

Options

  1. A3132\frac{31}{32}
  2. B1516\frac{15}{16}
  3. C2932\frac{29}{32}
  4. D78\frac{7}{8}

Correct answer

A. 3132\frac{31}{32}

Step-by-step solution

n=5P=P(T)=12,q=1−12=12P(x≤4)=1−P(x=5)=1−(12)5=1−132=3132\begin{aligned} & n=5 \\ & P=P(T)=\frac{1}{2}, q=1-\frac{1}{2}=\frac{1}{2} \\ & P(x \leq 4)=1-P(x=5) \\ & =1-\left(\frac{1}{2}\right)^5=1-\frac{1}{32}=\frac{31}{32}\end{aligned}
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