The probability of obtaining an even prime nu | vedclass

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Question

(A) When two dice are rolled,the total number of possible outcomes is $6 	imes 6 = 36$.The only even prime number is $2$.Let $E$ be the event of gett

Vedclass · Accepted Answer

$\frac{1}{36}$

Vedclass · Answer

(A) When two dice are rolled,the total number of possible outcomes is $6 	imes 6 = 36$.The only even prime number is $2$.Let $E$ be the event of getting an even prime number on each die.Since each die must show $2$,the favorable outcome is $(2, 2)$.Therefore,the number of favorable outcomes is $1$.The probability $P(E) = \frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{1}{36}$.Thus,the correct answer is $A$.

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

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