Question

E is the event of 'getting an even prime number' on rolling a dice once. The probability of it's complementary event is .

• A. $\frac{1}{6}$
• B. $\frac{2}{3}$
• C. $\frac{1}{3}$
• D. $\frac{5}{6}$
• E. 1

Answer 1

The correct option is D $\frac{5}{6}$

E is the event getting an even prime number.
Favourable outcome for E = {2}
$\therefore$ Outcome for it's complementary event are : {1, 3, 4, 5, 6}
Number of favourable outcomes for complementary event = 5
Total no. of outcomes = 6

$\therefore$ Required probability = $\frac{5}{6}$