Question

# Imagine rolling two fair 6 sided dice. What is the probability the number rolled on the...

Imagine rolling two fair 6 sided dice. What is the probability the number rolled on the first die is even or the sum of the rolls is 10?

Here are the possibities of rolling two fair 6 sided dice.

Here there are total of 6 * 6 = 36 possiblities.

these are the possibilities.

sum is 2 = (1,1)

sum is 3 = (1,2), (2,1)

sum is 4 = (1,3), (3,1), (2,2)

sum is 5 = (1,4), (4,1), (2,3), (3,2)

sum is 6 = (1,5), (5,1), (2,4), (4,2), (3,3)

sum is 7 = (1,6), (2,5), (3,4),(4,3), (5,2), (6,1)

sum is 8 = (2,6), (3, 5), (4,4), (5,3), (6,2)

sum is 9 = (3,6), (4,5), (5,4), (6,3)

sum is 10 = (4,6), (5,5), (6,4)

sum is 11 = (5,6), (6,5)

sum is 12 = (6,6)

Here first die is even so here there are 18 possibliites.

here total possiblities when the sum of the rolls is 10 = 3

so here common possibliies where first die is even and the sum of the rolls is 10 are 2 [(4,6) and (6,4)]

so here total possiblities = 18 + 3 -2 = 19

so probability that number rolled on the first die is even or the sum of the rolls is 10 = 19/36

#### Earn Coins

Coins can be redeemed for fabulous gifts.