Question

if you roll two six - sided dice, what is the probability of getting a sum of 8?
a. 5/36
b. 1/36
c. 2/36
d. 6/36

Explanation:

Step1: Calculate total number of outcomes

When rolling two six - sided dice, each die has 6 possible outcomes. By the multiplication principle, the total number of outcomes is \(6\times6 = 36\).

Step2: Find the number of favorable outcomes

The pairs \((x,y)\) (where \(x\) is the result of the first die and \(y\) is the result of the second die) that sum to 8 are \((2,6)\), \((3,5)\), \((4,4)\), \((5,3)\), \((6,2)\). So there are 5 favorable outcomes.

Step3: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Substituting the values, we get \(P = \frac{5}{36}\).

Answer:

A. \(5/36\)