SOLUTION: i ask u question today A STUDENT IS GIVEN THREE HISTORICAL EVENTS TO MATCH. 1)mahatma gandhi's birthday 2)word war3 3)India;s independence and three years(1914,1947,1896)

Question 398336: i ask u question today
A STUDENT IS GIVEN THREE HISTORICAL EVENTS TO MATCH.
1)mahatma gandhi's birthday
2)word war3
3)India;s independence
and three years(1914,1947,1896)
IF HE DOES IT BY GUESSING.
WHAT IS THE PROBABILITY DISTRIBUTION OF NO. OF ANSWERS GUESSED CORRECTLY?
i got the answer but,...............
can u give me explanation how sample space is 6
plzzzzzzzz
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sometimes it helps to list the elements of the sample space
so you can see the possibilities and the probabilities.
---
Use
(1/1)(2/2)(3/3) to indicate correctly matching all three
---
(1/1)(2/3)(3/2) is one match
--
(2/2)(1/3)(3/1) is one match
---
(3/3)(1/2)(2/1) is one match
---
If you have 2 correct matches the 3rd match must also be correct.
---
(1/2)(2/3)(3/1) is no match
---
(1/3)(2/1)(3/2) is no match
===============================
Those are the six.
===============================
Why six ?
You have three to match with three.
#1 can match with any of the 3 "answers".
#2 can match with 2 "answers" that remain.
#3 can only match with the one "answer" tha remains.
---
3*2*1 = 6
====================
Cheers,
Stan H.
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