The probability of obtaining an even prime nu | vedclass

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(D) When a pair of dice is rolled,the total number of possible outcomes is $6 	imes 6 = 36$. An even prime number is a number that is both even and p

Vedclass · Accepted Answer

$\frac{1}{36}$

Vedclass · Answer

(D) When a pair of dice is rolled,the total number of possible outcomes is $6 	imes 6 = 36$. An even prime number is a number that is both even and prime. The only even prime number is $2$. For each die,the probability of obtaining the number $2$ is $\frac{1}{6}$. Since the two dice are rolled independently,the probability of obtaining an even prime number on each die is the product of their individual probabilities: $P = \frac{1}{6} 	imes \frac{1}{6} = \frac{1}{36}$. Thus,the correct option is $D$.

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

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