Maths · The fundamental principle of counting
4 normal distinguishable dice are rolled once. The number of possible outcomes i
4 normal distinguishable dice are rolled once. The number of possible outcomes in which at least one dice shows up 2?
- A. 216
- B. 648
- C. 625
- D. 67
Step-by-step solution
Total outcomes when rolling 4 distinguishable dice: 6^4 = 1296. Outcomes with no die showing 2: each die has 5 possibilities (1,3,4,5,6), so 5^4 = 625. The number of outcomes with at least one die showing 2 is 1296 - 625 = 671. Since 671 is not among the options, option C (625) is the number of outcomes with no 2, which might be the intended answer if the question meant 'none' instead of 'at least one'.
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