Mark:
PILLS
one hour
?'Who works when he plays, and plays when he works?'
a professional ball player
Good enough, I had ?'Bard'
LOTTO
Assuming that six number are drawn by the LOTTO folks,
C(49-6,6) / C(49,6)
= (43*42*41*40*39*38)/(49*48*47*46*45*44)
= 0.43596497551169151539179291260697
The answer is indeed .4360 or 43.60% or 1 in 2.29 that a person would match no numbers!
First, determine the number of different combinations of 49 numbers taken 6 at a time. There are 13,983,816 different possible combinations. So, the chances of matching all six numbers are 1 in 13,983,816.
Next, you must figure the number of ways in which none of the numbers matched. There are 43 numbers which do not match, so take the number of combinations of 43 numbers taken 6 at a time. This answer is 6,096,454. Now, divide these two numbers to get your answer. The probability of not matching any of the six numbers is 6,096,454 divided by 13,983,816.
Francis:
?'Whoever has it is angry, Whoever loses it is angrier, Whoever wins it has it no more'
I'm not gonna have a dispute about the above.
Dispute it is.
When it is down, it is lower than a horse's belly. When it is up, it is higher than a horse's back
When it is stout, people gladly tread. When it is thin, people walk in dread
When people come for me to meet, they come to me with heavy feet. The one I hold, When I get my chance, will fall and spin, and do a little dance
Determine, if you have no fear of the unknown, the missing numbers in the following sequence of ordered pairs:
(1,3), (2,3), (3,5), (4,4), (5,4), (6,3), (7,5), (8,

), (9,

), (10,

)