i have 5 tickets for a lottery that contains a total of 100.000 tickets. 100 tickets are drawn, what are the chances of me winning?
i have 5 tickets for a lottery that contains a total of 100.000 tickets. 100 tickets are drawn, what are the chances of me winning?
Im splitting them into 100 winning and 99900 losing tickets
1-P(5lose)
1-(99900C5/100000C5)
Very close to 5/1000 = 1/200
That's what I think anyway.
I asume the total number of tickets is 105
The chance that none of your 5 is drawn is approximately (1-5/105)100 = 0.99995100
("approximately" because I've ignored the fact that a drawn ticket will not be replaced; but with such a large number of tickets the impact of this will be small).
Therefore the chance of you winning is p = 1 - 0.99995100
p=1−0.99995100⇒p=0.0049876451880159
or p ≈ 0.005
i have 5 tickets for a lottery that contains a total of 100.000 tickets. 100 tickets are drawn, what are the chances of me winning?
Im splitting them into 100 winning and 99900 losing tickets
1-P(5lose)
1-(99900C5/100000C5)
Very close to 5/1000 = 1/200
That's what I think anyway.
Alan, you beat me! Mine is exact I think.
Not many calculators can deal with such large numbers though.