Probability of obtaining an even prime number on each die, when a pair of dice is rolled is

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14.Probability

easy

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

A

$\frac{1}{36}$

B

$\frac{1}{3}$

C

$\frac{1}{12}$

D

$0$

Solution

When two dice are rolled, the number of outcomes is $36$.

The only even prime mumber is $2$ .

Let $E$ be the event of getting an even prime number on each die.

$\therefore $$ \mathrm{E}=\{(2,2)\}$

$\Rightarrow $ $P(E)=\frac{1}{36}$

Therefore, the correct answer is $A$.

Standard 11

Mathematics

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