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    Question

    Three dice are rolled simultaneously. What is the number

    of possible outcomes in which at least one of the die shows 3?
    A 91 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 79 Correct Answer Incorrect Answer
    D 80 Correct Answer Incorrect Answer
    E 65 Correct Answer Incorrect Answer

    Solution

    In a single roll of dice, there are 6 numbers i.e. 1, 2, 3,4,5,6. Total possible outcomes in rolling 3 dices= 6× 6 ×6 = 216 & the cases without showing 3 number (means every dice will show number 1, 2, 4,5,6 only) = 5× 5×5 = 125 So no. of possible outcomes in which at least one of the die shows number 3 = Total Possible outcomes – cases without showing 3 number = 216 – 125 = 91

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