Three integers are chosen at random from the first 20 integers. T… - Vidyadip

MCQ

Three integers are chosen at random from the first $20$ integers. The probability that their product is even is,

A
$\frac{2}{19}$
B
$\frac{3}{29}$
✓
$\frac{17}{19}$
D
$\frac{4}{19}$

✓

Answer

Correct option: C.

$\frac{17}{19}$

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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