Question

2dice are thrown at the same time , write down all the possible outcomes . what is the probability that the sum of the 2 numbers appearing on the top to the dice is a prime number​

Answer 1

1+1

$1 + 2 \\ 1 + 3 \\ 1 + 4 \\ 1 + 5 \\ 1 + 6 \\ 2 + 1 \\ 2 + 2 \\ 2 + 3 \\ 2 + 4 \\ 2 + 5 \\ 2 + 6 \\ 3 + 1 \\ 3 + 2 \\ 3 + 3 \\ 3 + 4 \\ 3 + 5 \\ 3 + 6 \\ 4 + 1 \\ 4 + 2 \\ 4 + 3 \\ 4 + 4 \\ 4 + 5 \\ 4 + 6 \\ 5 + 1 \\ 5 + 2 \\ 5 + 3 \\ 5 + 4 \\ 5 + 5 \\ 5 + 6 \\ 6 + 1 \\ 6 + 2 \\ 6 + 3 \\ 6 + 4 \\ 6 + 5 \\ 6 + 6$

there fore probability is

$\frac{16}{36}$

Answer 2

Your answer will be 16/36

= 4/9