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mameadows
 2 years ago
what is the probability that your five number combination will be the winning combination in a lottery that involves the selection of random numbers from 1 through 20? the order of the five numbers is irrelevant.
mameadows
 2 years ago
what is the probability that your five number combination will be the winning combination in a lottery that involves the selection of random numbers from 1 through 20? the order of the five numbers is irrelevant.

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wio
 2 years ago
Best ResponseYou've already chosen the best response.1When order matters, the total number of tickets (sample space) is \(20^5\) We can remove order by dividing out the number of permutations from the sample space. The \(5\) numbers can be permuted \(5!\) ways. Thus I ways say the probability is: \[ \frac {5!}{20^5} \]

mameadows
 2 years ago
Best ResponseYou've already chosen the best response.0@wio can I leave my answer like that or do I have to actually multiply them out?

wio
 2 years ago
Best ResponseYou've already chosen the best response.1You should multiply them out.

wio
 2 years ago
Best ResponseYou've already chosen the best response.1\[ 5!=5\times4\times3\times2\times 1=20\times 3\times 2 \]

wio
 2 years ago
Best ResponseYou've already chosen the best response.1\[ \frac{20\times 3\times 2}{ 20^5} = \frac{3\times 2}{20^4} = \frac{3}{10^4\times 2^3} \]At this point you may just want to use a calculator.

mameadows
 2 years ago
Best ResponseYou've already chosen the best response.0this is what i thought it was: 20*19*18*17*16*15! / 15! * 5*4*3*2*1 = 1,860,480 / 120 = 15,504... you can only get one winning ticket so... 1 / 15,504 is that wrong?

wio
 2 years ago
Best ResponseYou've already chosen the best response.1I don't understand the reasoning behind that so I can't tell you what is wrong with it.

mameadows
 2 years ago
Best ResponseYou've already chosen the best response.0total no:(120)=29 use combination ,u have to select only 5 no's total no of ways=20 C 5 =20! / (15! * 5!) =20*19*18*17*16*15! / (15! * 5*4*3*2*1) =15,504 since only one will be correct out of these ways therefore answer is 1/15,504

mameadows
 2 years ago
Best ResponseYou've already chosen the best response.0I meant to put (120)=20! at the top

wio
 2 years ago
Best ResponseYou've already chosen the best response.1Well, the reason we use \(20^5\) instead of \(20!/15!\) is because it didn't say we can't have repeated numbers.

wio
 2 years ago
Best ResponseYou've already chosen the best response.1It didn't say we can't chose something like 1 1 1 1 1
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