Question
Four 6-faced dice are rolled together. The probability
that exactly three of the four numbers are equal is:Solution
- Choose the number that appears three times
- There are 6 possible numbers (1 to 6), so we can choose any one of them → 6 choices
- Choose the die that shows a different number
- Out of 4 dice, choose 1 die to be different → 4 choices
- Choose a number for the odd die
- It must be different from the triplet number, so → 5 choices
Total outcomes = (6^4 = 1296) Final Probability: [ 120/296 = 5/54 ] C. 5/54
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