When two dice are thrown together what is the probability that the sum of the number that appear on the dice is a prime number?

When two dice are thrown together what is the probability that the sum of the number that appear on the dice is a prime number?

Text Solution

`1//2``3//7``5//12``7//12`

Answer : C

Solution : Total cases = 36 <br> Prime number are 2 , 3 , 5 , 7 , 11. <br> `therefore` Favourable cases = 15 <br> Required probability = `(15)/(36) = (5)/(12)`

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