Combining multiple probabilities Drake has 2 green dice, 1 yellow, and 1 red (4
ID: 87265 • Letter: C
Question
Combining multiple probabilities Drake has 2 green dice, 1 yellow, and 1 red (4 total). He rolls all of the dice of the same color at the same time (because there are three colors, he makes three separate rolls). What is the probability the sum of the two green dice is less than 8? Note all are normal 6-sided die. Drake has 2 green dice, 1 yellow and 1red (4 total). He rolls all of the dice of the same color the same time (because there are three colors, he makes three separate rolls). What is the probability he rolls a 5 on the red a 2 or 3 on the yellow, and an additive number of less than (Explanation / Answer
Total number of outcomes of a green dice = 36 ( 6 x 6 )
Probability that the sum of two dice is less than 8 is given as:
Probability that the sum is 2 is (1,1)
Sum is 3 = (2,1), (1,2),
Sum is 4 = (2,2), (1,3), (3,1)
Sum is 5 = (2,3), (3,2), (4,1), (1,4)
Sum is 6 = (3,3), (4,2), (2,4), (1,5), (5,1)
Sum is 7 = (3,4), (4,3), (5,2), (2,5), (1,6), (6,1)
Therefore, the total number of chances = 21
The total number of out comes = 36
Probability that the sum of two dice is less than 8 = number of chances of outcome / total number of outcomes
= 21 / 36
= 7 / 12