Question

the probability of getting an outcome with a sum that is less than 4 is __. give the answer as a fraction. sample space first roll second roll

Explanation:

Step1: Determine total outcomes

A die has 6 faces. For two rolls, total outcomes = \(6\times6 = 36\).

Step2: Find favorable outcomes (sum < 4)

Sum of two dice:

• (1,1): sum = 2
• (1,2): sum = 3
• (2,1): sum = 3

Count of favorable outcomes = 3.

Step3: Calculate probability

Probability = \(\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}=\frac{3}{36}=\frac{1}{12}\).

Answer:

\(\frac{1}{12}\)