Cannot Figure out This Probability Question About Exhaustive Events

[dhaimovich1]

Question: Select the correct statement about this table (see attached image).

• The events A1, A2,... Am are mutually exclusive and collectively exhaustive events.
• The events A1, A2,... Am are mutually exclusive but not collectively exhaustive events.
• The events B1, B2,... Bk are mutually exclusive and collectively exhaustive events.
• The events B1, B2,... Bk are neither mutually exclusive nor collectively exhaustive events.

 

[mmm4444bot]

Cannot Figure out This Probability Question …

Hello. Please share what you do know, what you've tried thinking about or which aspect(s) are unclear.

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[Dr.Peterson]

Question: Select the correct statement about this table (see attached image).

• The events A1, A2,... Am are mutually exclusive and collectively exhaustive events.
• The events A1, A2,... Am are mutually exclusive but not collectively exhaustive events.
• The events B1, B2,... Bk are mutually exclusive and collectively exhaustive events.
• The events B1, B2,... Bk are neither mutually exclusive nor collectively exhaustive events.

You probably have some specific questions about this; I do! Please ask them, so we can discuss whether the problem makes sense, and what it might be intended to be about.

I myself would tend to expect that two of the four statements as you have them are true; but nothing is actually said about any of them such that I could prove my answer. Has the book told you what to assume about such a table? Or have you perhaps not shown the entire actual problem as given?

 

[Steven G]

Can we please see the complete problem?
Do you know the definition of mutually exclusive? How about collectively exhaustive events?