question is,
If you flip a coin 5 times what is the probability of getting 4 heads, and 1 tails?
total number of outcomes is because you flip a coin there are to possible outcomes 5 times.
Since there is no order it is a combination *this is where I am confused* I thought when you have two different things like,
"how many 4 card hands can be formed with 2 hearts and 2 diamonds" you do 13c2 x 13c2 because you have 13 of each and you are choosing two each.
but what I've seen searching online is when you flip a coin dice 5 times and want 4 heads it's 5c4=5? but what about the tails? shouldn't it be 5c4 x 5c1 because there are 5 heads and 5 tails? Also if this is the same with dice I'd like to know how to do that too.
thanks.
how would you do that if there where more, like 100 head's 125 tails.
I thought it would be 225C100 times 225C125 ?
but it seems to be 225C100?
Is dice the same thing? I dont see how this is different from having say 26 red cards and 5 black cards where you want a 6 card hand, it's 26c4 times 5c2
This was another question from a while ago, it is whats confusing me, why di you multiply here, but not with the dice. I mean whats the difference between a red card or a black card - vs. - a heads or a tails?
or 4 black cards and 1 red vs. 4 tails and 1 heads.
The two ideas are entirely different: one, the cards, is a dependent set of acts; the other, coins, is an independent set of acts.
By that we mean: as we deal cards the second card depends upon what the first card was.
But in flipping a coin the second coins is not effected by what happens on the first coin.
If we have an urn of ten red balls, five blue balls and one gold ball.
Drawing out four balls one at a time without replacement is a dependent act.
Drawing out four balls one at a time with replacement is an independent act.