Question

A and B choose any one digit at random from the digits 0, 1, 2, ............9, independently. The probability that the product of the two digits is zero is ____.

• A. 0.2
• B. 0.22
• C. 0.18
• D. 0.19

Answer 1

The correct option is A 0.2

$\mathrm{Sin}cetheproductof\text{two number is zero hence one of the number must be 0}$
$\text{probability of A choose 0=}\frac{1}{10}=0.1$
$probabilityofBchooserestofanynumber=\frac{1}{9}$
$requiredprobability=\frac{1}{10}+\frac{1}{9}=0.2$