ok the lucky three is done after the quiz there are 40 questions in the quiz now say you answer question 4 correct question 2 wrong and question 40 wrong, if the quiz master pulled out 4 correct 2 wrong and 40 wrong you would win but if for example they pulled out 40 correct you would lose
Right - so there are 40 questions in the quiz then at the end there is a random draw and it has to match the answer you give for that Q!
I PAss
I'm not a statitistian (sp?)
Because I do not know what you answered in the quiz
Pass - I suspect about the same chances of he national lottery
I think I get what relex109 is saying about the lucky three so here goes.
Assumming you are reasonably good at quizes then you will have more questions right than wrong so drawing "Question N wrong" is more likely to eliminate you as opposed to drawing "Question N right". So do the odds will vary in proportion the number of questions you have right out of 40?
If you got all 40 original questions right then it's as relex 109 says:
i know that if there were only 3 questions then the chance would be 1/8 as there are 8 combinations across the 3 questions
yyy
nnn
yny
nyn
yyn
nny
nyy
ynn
but is the fact that there are 40 original questions out of which the 3 are selected irelevent as my friend belives
i really have a headache over this
The same odds would apply if you got all 40 original answers wrong.
But how you work out the odds for any other combination of right and wrong quiz answers? There are now 6 out of the 8 possible selections which afffect the odds. If you have more right than wrong in your original answers then the 3 selections with 2 rights should increase your chance of winning, but the 3 selections with 2 wrongs are more likely to cause you to lose.
So do they even out?
Are we back to simple penny tossing?
Selection 1 Question X win or lose i.e. 50:50 (if you lose on this round then you are out and further selections are irrelevant)
Selection 2 Question Y win or lose i.e. 50:50 (out if you lose)
Selection 2 Question Z win or lose i.e. 50:50 (out if you lose)
So is it back to 0.5*0.5*0.5= 0125 or 1/8?
Where it all started.
My brain hurts?