ITPEC FE Morning October 2022 Question 3
ITPEC FE Morning October 2022 — Question 3 of 80
Probability — sum of two dice — count favorable outcomes over total outcomes.
Two fair dice → 6 × 6 = 36 total outcomes.
Favorable outcomes (sum = 5):
- (1,4), (2,3), (3,2), (4,1) → 4 combinations
Probability = 4 / 36 = 1/9
Why not others:
- (a) 1/18 — only 2 combinations, too few
- (b) 1/12 — 3 combinations, missing one pair
- (d) 1/6 — 6 combinations, matches sum of 7
Key rule: For two dice, list all (i, j) pairs where i + j = target. Total outcomes always 36.
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