Question

If a pair of dice is rolled ,the probability that the sum of numbers appearing on both the dice is a prime number
greater than 2 is

Answer 1

Answer:

Here is the answer. Hope it helps

Answer 2

Answer: 2/3

Step-by-step explanation:

So first, you need to draw a table.

The reason the table is until 6 is because each die has 6 numbers (1, 2, 3, 4, 5, 6).

Now, we do the sum of the numbers.

    1    2    3    4     5    6

1   2    3    4    5     6    7

2  3    4    5    6     7    8

3  4    5    6    7     8    9

4  5   6     7    8     9    10

5  6   7     8    9     10   11

6  7   8     9    10    11    12

Now that we have finished the table, we list down the prime numbers larger than 2 and smaller than 12 (because 12 is the greatest number in the table).

Prime numbers ( >2<12) : 3, 5, 7, 11

After this, we count.

There are 2 3's, 4 5's, 6 7's and 2 11's so the answer is 2+4+6+12=24

So, the answer is 24/36 because there were 36 possibilities at first.

Finally, we simplify 24/36 to 2/3. Hence, your answer is 2/3!

I hope you understand after my LONGGGG explanation! :D