Question
Question: Four dice are rolled once. The number of possible outcomes in which at least one dice shows 3 is...
Four dice are rolled once. The number of possible outcomes in which at least one dice shows 3 is
A
1296
B
625
C
671
D
None of these
Answer
671
Explanation
Solution
When a dice is rolled there are six possible outcomes, therefore, when four dice are rolled once, there are 6x6x6x6 = 1296 possible outcomes.
When none of the dice comes up with 3, then the number of possible outcomes.
= 5 x 5 x 5 x 5 = 625.
Hence, the number of possible outcomes when atleast one dice shows up 3 is equal to 1296 – 625 = 671.