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Question: Answered & Verified by Expert
Consider events $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E}$ of the sample space $\mathrm{S}=\{\mathrm{n}: \mathrm{n}$ is an
integer such that $10 \leq \mathrm{n} \leq 20\}$ given by:
A is the set of all even numbers.
B is the set of all prime numbers.
$\mathrm{C}=(15)$
$\mathrm{D}$ is the set of all integers $\leq 16$.
E is the set of all double digit numbers expressible as a power of 2.

A, $\mathrm{B}$ and $\mathrm{D}$ are
MathematicsProbabilityNDANDA 2014 (Phase 2)
Options:
  • A Mutually exclusive events but not exhaustive events
  • B Exhaustive events but not mutually exclusive events
  • C Mutually exclusive and exhaustive events
  • D Elementary events
Solution:
2996 Upvotes Verified Answer
The correct answer is: Exhaustive events but not mutually exclusive events
A, B and D are exhaustive events but not mutually
exclusive events.

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