2006-11-09 10:02:03 · 6 answers · asked by Michael T 1 in Science & Mathematics ➔ Mathematics
The answer according to the text is in a ratio. I was getting the same anser but don't how to get the ratio.
2006-11-09 10:28:12 · update #1
The question asks for the *odds* of this happening.
Odds are expressed as:
# of ways to get success : # of ways to get failure.
There are 3 ways to get success:
HHT
HTH
THH
There are 5 ways to get failure:
HHH
HTT
THT
TTH
TTT
So the *odds* should be 3 to 5.
The probability, on the other hand, is specified as:
# of ways to have success / # of total outcomes
This is simply 3 / 8 = 37.5%
The *odds* are 3 to 5
The *probability* is 3/8 or 37.5%
You can also view odds as a ratio of probabilities. The probability of this happening is 3/8. The probability of it not happening is 5/8. The odds are therefore the ratio of 3/8 to 5/8 or simply 3 to 5.
It's easy to get confused and I even often read "odds" to be the same thing as probability, but they aren't.
2006-11-09 11:24:47 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
The first time you flip the coin, there is a 50 percent chance that it will be a heads. The second time you flip the coin, there is a 50 percent chance that it will be heads. The third time you flip the coin, there is a 50 percent chance that it will not be heads.
.5 x .5 x .5 = .125
There are three different orders in which one could flip two heads and a tails.
It could be:
HHT
HTH
or
THH
So you have to multiply .125 by three
3x .125 = .375
There is a 37.5 % chance of this happening.
2006-11-09 10:24:28 · answer #2 · answered by danielomm314 2 · 0⤊ 0⤋
2 heads in 3 flips P=3/8=.375
2006-11-09 11:39:38 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
the probability of either heads or tails is 0.5. The probability that a series of events occur is the product of their individual probabilites. So, if you compute the product of each of the ways you can get heads 2 out of three times, and add those products together, you get the probability of 2 out of 3.
p(h) = p(t) = 0.5
p(h) * p(h) * p(t) = 0.125
p(h) * p(t) * p(h) = 0.125
p(t) * p(h) * p(h) - 0.125
0.125 + 0.125 + 0.125 = 0.375 or 3/8.
2006-11-09 10:14:22 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Well, the possible outcomes are:
HHH
HHT
HTH
THH
THT
TTH
HTT
TTT
So, technically, you have a 3/8 chance of getting two heads.
2006-11-09 10:08:32 · answer #5 · answered by Lilovacookedrice 3 · 0⤊ 0⤋
possible outcomes
hhh
hht <-
hth <-
htt
thh <-
tht
tth
ttt
3/8
2006-11-09 10:05:56 · answer #6 · answered by rawfulcopter adfl;kasdjfl;kasdjf 3 · 0⤊ 0⤋