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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Probability

NDA 2022 · Mathematics · Probability

Two digits out of 1,2,3,4,5 are chosen at random and multiplied...

Two digits out of 1,2,3,4,51,2,3,4,5 are chosen at random and multiplied together. What is the probability that the last digit in the product appears as 0 ?

Options

  1. A110\frac{1}{10}
  2. B15\frac{1}{5}
  3. C25\frac{2}{5}
  4. D45\frac{4}{5}

Correct answer

B. 15\frac{1}{5}

Step-by-step solution

Since two digits are chosen then n(s)=5C2\mathrm{n}(\mathrm{s})={ }^5 \mathrm{C}_2 To get last digit O there are two cases =2×5=10=2 \times 5=10 or 4×5=104 \times 5=10 Hence, Probability =25C2=15=\frac{2}{{ }^5 \mathrm{C}_2}=\frac{1}{5}
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