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Question: Answered & Verified by Expert
In throwing a six faced die, let $A$ be the event that an even number occurs, B be the event that an odd number occurs and $\mathrm{C}$ be the event that a number greater than 3 occurs. Which one of the following is correct?
MathematicsProbabilityNDANDA 2013 (Phase 1)
Options:
  • A $\mathrm{A}$ and $\mathrm{C}$ are mutually exclusive
  • B $\mathrm{A}$ and $\mathrm{B}$ are mutually exclusive
  • C $\mathrm{B}$ and $\mathrm{C}$ are mutually exclusive
  • D $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ mutually exclusive.
Solution:
1348 Upvotes Verified Answer
The correct answer is: $\mathrm{A}$ and $\mathrm{B}$ are mutually exclusive
$A=\{2,4,6\}, B=\{1,3,5\}, C=\{4,5,6\}$
Hence, $A$ and $B$ are mutually exclusive.

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