The sum is greater than 7, the sum is divisible by 2
2 dice sum greater than 7 means 8, 9, 10, 11, 12.
Now take this set, and intersect it with sums divisible by 2.
8, 10, 12
An ordinary fair die is rolled twice. The face value of the rolls is added together. Compute the probability of the following events: Event A: The sum is greater than 6. Event B: The sum is divisible by 5 or 6 or both.
Sum greater than 6 = 7/12
Sum is divisible by 5 or 6 or both
This means a...
A blue die and a green die are rolled. Find the probability that the blue and green are both less than 6
P(Blue not 6) = 5/6
P(Green not 6) = 5/6
Each one is independent of the other, so the probability that both are less than 6 is:
P(Both not 6) = P(Blue not 6) x P(Green not 6)
P(Both not 6)...
You throw two dice. The red dice is fair but on the blue dice the probability of a 1=15%, probability of a 2 is 25%, and the probability of any other number is 15%. What is the probability of getting 4?
Possible Rolls with a sum of 4:
R = 1, B = 3
R = 2, B = 2
R = 3, B = 1
Probabilities:
R =...
2 dice are rolled what is the probability that doubles are rolled less than 11
List out the doubles with a sum less than 11:
(1, 1)
(2, 2)
(3, 3)
(4, 4)
(5, 5)
The probability of each double is 1/6 * 1/6 = 1/36.
We have 5 of them, so we have 5*1/36 = 5/36
two unbiased dice are thrown. find the probability that the total number on the dice is greater than 10
From our 2 dice calculator:
We have (5,6),(6,5),(6,6)
P(Sum) > 10 is 1/12
Sum of 8 equal to 5/36 shown here.
At least one 4 means one of three scenarios:
(4, not 4) = 1/6 * 5/6 = 5/36
(not 4, 4) = 5/6 * 1/6 = 5/36
(4, 4) = 1/6 * 1/6 = 1/36
The phrase "or", means we add both probabilities (sum of 8) and (at least one 4):
5/36 + (5/36 + 5/36 + 1/36)
16/36
Simplify...
List out the sums greater than 8:
(4, 5)
(4, 6)
(5, 5)
(5, 6)
(6, 6)
(5, 4)
(6, 4)
(6, 5)
Since there are 6 * 6 = 36 total outcomes, we have the probability of the sum greater than 8 as:
8/36 = 2/9