Computing the probability of rolling two dice in succession face value of two rolls are added together is the sum greater than 7

5/12 ≈ 0.41667

Step-by-step explanation:

If the first die rolls a 1 and the second die rolls a 1, then the sum is 2.

If the first die rolls a 1 and the second die rolls a 2, then the sum is 3.

Repeating this, we can build a table showing all the possible outcomes:

As we can see, of the 36 possible outcomes, 15 are greater than seven.  So the probability is 15/36, which reduces to 5/12.

b

step-by-step explanation:

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2