2 dice are rolled find the probability of getting a 5 on either die or the sum of both dice is 5?

Question

2 dice are rolled find the probability of getting a 5 on either die or the sum of both dice is 5?

Answer 1

There are six combinations where the first die is a 5, six combinations where the second die is a 5, and one combination where both are a 5. Hence the number of combinations where one die is a 5 = 6+6-1=11.

There are four combinations where the sum of both dice is 5. (1&4, 2&3, 3&2, 4&1)

That makes the total number of combinations meeting the criteria = 11 + 4 = 15.

The total number of combinations possible with two dice = 6x6 = 36.

That makes the probability 15 / 36 = 41.67%

Answer 2

There are 4 out of 36 combo's that make 5, that's 1/9.

Either die gets a 5?  1-(5/6)*(5/6).

About 30%, give or take.

Answer 3

Step 1:  Just write out all the possibilities:

1, 1

1, 2

1, 3

1, 4

1, 5

1, 6

2, 1

...etc.

Then count how many fives you see and how many combos that add up to 5.  Divide that by the total number of possibilities