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Choose the correct option.
Four people each roll a four die once. Find the probability that at least two people will roll the same number?
A5/18
B13/18
C1295/1296
DNone of these
Answer: Option (Login/Signup)
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STEP-BY-STEP
Let's first find the probability that all the people get different numbers.
Outcome of each die can be any of the 6 numbers. Therefore,
Total number of outcomes =64=64
First die can give any of the 6 numbers
Second die can give any of the remaining 5 numbers
Third die can give any of the remaining 4 numbers
Fourth die can give any of the remaining 3 numbers
Therefore, total favorable outcomes 6×5×4×3
P(all people get different numbers) =6×5×4×364=518=6×5×4×364=518
P(at least 2 people get the same number) =1−518=1318=1−518=1318
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