Question
Download Solution PDFFour dice are rolled. The number of possible outcomes in which at least one dice show 2 is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Permutations with Repetition = nr
Where n is the number of things to choose from r different things when repetition is allowed, and order matters.
Favorable cases = Total cases - Unfavorable cases
Calculation:
According to the question
Four dies are rolled
So, Total Possible number of outcomes = 64
Now, Total outcomes when no 2 appears = 54
Now, From the concept used
Favorable cases = 64 - 54
⇒ 1296 - 625
⇒ 671
∴ The number of possible outcomes in which at least one die shows 2 is 671.
Last updated on Jul 4, 2025
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