Marti rolls two dice what is the probability that the sum of the dice is 7 given that the first die is 2

The probability such that the sum of the dice is 7 given that the first die is 2 is:

1/36

Step-by-step explanation:

The sample space that is obtained by rolling two die is given as:

(1,1)   (2,1)   (3,1)   (4,1)   (5,1)   (6,1)

(1,2)   (2,2)   (3,2)   (4,2)   (5,2)   (6,2)

(1,3)   (2,3)   (3,3)   (4,3)   (5,3)   (6,3)

(1,4)   (2,4)   (3,4)   (4,4)   (5,4)   (6,4)

(1,5)   (2,5)   (3,5)   (4,5)   (5,5)   (6,5)

(1,6)   (2,6)   (3,6)   (4,6)   (5,6)   (6,6)

The outcomes such that the the sum of the dice is 7 given that the first die is 2 is:

(2,5)

Total outcomes=36.

Number of favorable outcomes=1.

Hence, the probability is defined as:

Probability= Number of Favorable outcomes/Total number of outcomes

Hence, Probability=1/36

5

step-by-step explanation: