Need help with a Mathematics question: True or False "Probability"

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1.True or false. If E and F are mutually exclusive, and E and G are mutually exclusive, then F and G are mutually exclusive.

* If false, please clarify why.

Nov 24th, 2015

Thank you for the opportunity to help you with your question!

As you can see in the image i attached the exclusivity between E and F and E and G doesnt exclude the possibility of F and G having common ground as illustrated in the last Venn diagram where although E and F are exclusive and E and G are exclusive  , F and G are not . 

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 24th, 2015

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Nov 24th, 2015
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