Question

if two dice are thrown at same time find the probability of getting sum of the dots on top is prime​

Answer 1

Total No. Of Outcomes is 36

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Answer 2

Answer: Our required probability is $\frac{7}{36}$

Step-by-step explanation:

Since we have given that

Two dice are thrown at the same time.

We need to find the probability of getting sum of the dots on top is prime.

Total number of outcomes from two dice = 36

Possible outcomes of getting sum of the dots on top is prime is given by

$\{(1,2),(2,1),(3,2),(2,3),(5,2),(2,5),(1,1)\}$

Number of possible outcomes = 7

So, Probability of getting sum of the dots on top is prime is given by

$\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\frac{7}{36}$

Hence, our required probability is $\frac{7}{36}$