Question

Three digits are chosen at random from 1, 2, 3, 4, 5, 6, 7, 8 and 9 without repeating any digit. What is the probability that the product is odd?

• A. $\frac{2}{3}$
• B. $\frac{7}{48}$
• C. $\frac{5}{42}$
• D. $\frac{5}{108}$

Answer 1

Answer: (C)

$\frac{5}{42}$

Three digits are chose at random from $1,2,3,4,5,6,7,8,9$ without repetition.

Possible outcomes whose product is odd $5\times 4\times 3=60$

Total outcomes $9\times 8\times 7=504$

The probability that the product is odd $=\frac{60}{504}=\frac{5}{42}$