How to culculate the probability to strike TOTO?

Question

TOTO is a lottery. The total available numbers are from 1 to 45. Only 6 numbers will be drawn. If all the 6 numbers match, you win the first prize! The 6 numbers will not repeated. How to culculate the probability to strike the 1st prize?

Answer 1

the calculations, use the method n C r or n CHOOSE r=
45 Choose 6= 8,145,060

these are factorials that break down to
45*44*43*42*41*40/6*5*4*3*2*1 = 8,145,060

Answer 2

The total number of 6-combinations from a set of 45 numbers is:

C(45, 6) = 45 x 44 x 43 x 42 x 41 x 40 / (6 x 5 x 4 x 3 x 2 x 1)

or 8145060

So your chances are 1 in 8145060.

Answer 3

Since the order does not matter, this is a combinations problem. There are 6 correct numbers and you need all 6 so the top of the probability fraction is 6C6.

There are 45 total numbers so the bottom is 45C6

Answer 4

Exactly 4 possibilities exist: 1) The Obama Administration is delusional. 2) The Obama Administration is retarded. 3) The Obama Administration is LYING. 4) The Obama Administration is THREATENING to hinder payments. From your source - the very story that SUPPORTS THE ADMINISTRATION'S CLAIM: Even if Obama's overhaul were completely overturned, the government still would have authority under previous law to pay hospitals, doctors, insurance plans, nursing homes and other providers. "There is an independent legal basis to pay providers if the Supreme Court strikes down the entire law."

Answer 5

There are C(45,6) ways to select 6 numbers, that is 45*44*43*42*41*40/6!.

There is only one good choice(matching all six numbers).

So probability is 1/C(45,6) = 1/8145060.

Answer 6

To translate all those other correct answer, odds are a little worse than one in eight million.

Answer 7

probablility = possible outcome/ all outcome
P(1st prize)=1/(45C6)=1/8145060