Question

The change of winning the race of the horse A is 1/5 and that of horse B is 1/6. The probability that the race will be won by A or B is ______.

• A. 3/10
• B. 1/3
• C. 1/30
• D. None of the above.

Answer 1

The correct option is A 3/10

$Given:$
$Chance\text{of horse A winning =}\frac{1}{5}$
$C\text{hance of horse B winning=}\frac{1}{6}$
$ways\text{of winning race by Aor B:}$
$\text{i) A wins the race then B losses the race}$
$\text{ii)A lose the race than B wins the race}$
$\text{Required probability=}\frac{1}{5}\times \frac{5}{6}+\frac{4}{5}\times \frac{1}{6}$
$=\frac{5}{30}+\frac{4}{30}$
$=\frac{9}{30}$