Question

The probability of obtaining an even prime number on each die when a pair of dice is rolled is:

• A. 0
• B. $(\frac{1}{3})$
• C. $(\frac{1}{12})$
• D. $(\frac{1}{36})$

Answer 1

Answer: (D)

$(\frac{1}{36})$

Answer 2

The correct answer is D:$\frac{1}{36}$
When two dice are rolled, the number of outcomes is 36.
The only even prime number is 2.
Let E be the event of getting an even prime number on each die.
∴E={2,2}
$P(E)=\frac{1}{36}$
Hence option (D) is correct.