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i know that it's the ratio successes :failures so i tried 13 C3 : 39C3 but it didnt get me the right answer
the probability that all 3 cards are spades is the product of the individual probabilities
there are 13 spades in a pack of 52 so P(3 spades) = 1/4 * 12/51 * 11/50
how about the odds?
this equals 11/850 as a fraction
not sure about the odds I guess its 839 to 11 against it happening (839 because its 850 - 11)
that's right 11:830
but im a bit confused on how to get it
what part are you confused about?
finding the odds of something
I dont back horses so I'm not much help there lol
when you said right 11:839 - was that the answer given in the book or on-line?
answer key from my teacher
right well if my memory serves me right there are 2 kins of odds odds on and odds against so ithink 11:839 is the odds ON 3 spades being drawn ad 839:11 is the odds AGAINST 3 spades being drawn
a simple example would be if a horse has the probability of winning a race the odds ON will be 1:3 and odds against will be 3:1 - the 2 numbers must add up to 4
* has the probability 1/4 of winning a race
but for cards, you have to draw 3 cards? so wont that change
no the rule is still the same you first work out the probabiility as a fraction and work out the odds on by subtraction ( in our case 850-11) your teacher wanted the odds ON drawing 3 spades.
i tried that for another problem. which is now 5 cards are draw... odds of get 5 face cards.
so if i treat it like probability it would be 792/2598960
some fraction i have a graphical calculator so i can get that in its most simple form - its 33/ 108290 - so can you work out the odds from this result?
how did you get that?
as i said my calculator does the addition of fractions
i mean like the probability in general?
you could do it manually by finding prime factors but its a bit tedious
how do you know what fractions to add though
well how did you get your fraction 792/2598960?
the number of successes is 12C5 over total number of outcomes is 52C5
oh ok thats another way of doing it the other way is 12/52 * 11/51 * 10/50 *9/49 * 8/48
- beceuse theres 12 face cards out of 52 - then we have 11 left out of 51 etc they are independent evants so the probabilities are multipl;ied
hm, i get a different answer
you can simplify some of the fractions first so its same as 3/13 * 11/51 * 1/5 * 9/49 * 1/6
oh i got the answer. thank you xD