What is the probability that getting a total of the numbers on the dice is 6 ?
For the next two (02) items that follow : Four dice are rolled.
- A. \frac{1}{216}
- B. \frac{1}{324}
- C. \frac{5}{648} ✓
- D. \frac{7}{648}
Correct Answer: C. \frac{5}{648}
Explanation
We need the number of solutions to x1+x2+x3+x4=6 with xi >= 1. Let yi = xi-1. We want y1+y2+y3+y4=2 with yi >= 0. Combinations = (2+4-1)C(4-1) = 5C3 = 10. Total outcomes = 6^4 = 1296. Probability = 10/1296 = 5/648.
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