The probability of obtaining an even prime number on each die, when a pair of dice is rolled is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\displaystyle\frac{1}{36}\)
The only even prime number is 2. So both dice must show 2: only the outcome (2, 2).
A pair of dice has \(6 \times 6 = 36\) equally likely outcomes, so
\( \displaystyle P = \frac{1}{36} \)
(Equivalently, by independence, \(\frac{1}{6}\times\frac{1}{6} = \frac{1}{36}\).)
NCERT (2026-27 edition):
Independent Events
