Question
Three integers are chosen at random from the first 20 integers. The probability that their product is even is,
- $\frac{2}{19}$
- $\frac{3}{29}$
- $\frac{17}{19}$
- $\frac{4}{19}$
✓
Answer
- $\frac{17}{19}$
Required probability that product of two integers should be even.
10 integers are odd out of first 20 integers.
Required probability = 1 - Probability of product is odd
Product of three integers is odd if two numbers are odd
Required probability $=1-\frac{10}{20}\times\frac{9}{19}\times\frac{8}{18}=\frac{17}{19}$
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