My Math Forum Probability help.

 February 21st, 2012, 07:23 PM #1 Senior Member   Joined: Jan 2012 Posts: 131 Thanks: 0 Probability help. Let $\Omega$ be the set of married couples (men and women) in a certain town. Consider the events: • A: “the man is older than 40”, • B: “the woman is younger than the man”, • C: “the woman is older than 40”. a) Write in function of A, B,C the event: “the man is older than 40 but his wife is not.” b) Describe in words the event$A \cap B \cap \complement C.$ c) Describe in words the event$A \setminus (A \cap B)$ . d) Describe in words the event$A \cap \complement B \cap C.$ e) Describe in words the event$A \cup B.$
February 22nd, 2012, 09:07 AM   #2
Math Team

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Re: Probability help.

Hello, azizlwl!

Quote:
 Let $\Omega$ be the set of married couples (men and women) in a certain town. Consider the events: [color=eige]. . [/color]A: “The man is older than 40” [color=beige]. . [/color]B: “The woman is younger than the man”, [color=beige]. . [/color]C: “The woman is older than 40”. a) Write in function of A, B,C the event: “The man is older than 40 but his wife is not.”

[color=beige]. . [/color]$A\,\cap\,C'$

Quote:
 b) Describe in words the event $A\,\cap\,B\,\cap\,C'$

The man is over 40 and the woman is younger than the man and is not over 40.

Quote:
 c) Describe in words the event $A \setminus (A \cap B)$ .

I don't understand how set subtraction applies here.

Quote:
 d) Describe in words the event $A\,\cap\,B'\,\cap\, C$

The man is oer 40 and the woman is older than man and is over 40.

Quote:
 e) Describe in words the event $A\,\cup\,B$

The man is over 40 or the woman is younger than the man.

 February 22nd, 2012, 02:34 PM #3 Senior Member   Joined: Jan 2012 Posts: 131 Thanks: 0 Re: Probability help. Thank you again Mr. Soroban , Try to get use with English language and the ' Hieroglyph ' of Mathematics

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