Hi Guys,
I need to know how to calculate probabilities/odds for missing dozens. Such as, what are the odds of a dozen missing 3 times, 4 times, 5 times, etc. Up to 8 times.
I'm not good with using letters in my math so a simple explanation would be much appreciated. Thanks guys.
Scooby Doo
First you need to calculate the probability of a hit on a dozen, which is:
12/37
What is a the probability of a miss? you need to subtract this from 1, because
P(a hit) + P(a miss) = 1 (100%, either the dozen hits or it doesn't hit)
And we know that P(a hit) = 12/37, so P(a miss) = 1 - P(a hit) = 1 - 12/37 = 25/37
Because spins are independent, we multiply the probability by itself once to find the probability of 2 misses in a row:
P(2 misses) = 25/37 âÅ"• 25/37 = 625/1369 = 0.46
And twice to find the probability of 3 misses in a row:
P(3 misses) = 25/37 âÅ"• 25/37 âÅ"• 25/37 = 0.31
get the idea?
Thank you Bayes for your clear and prompt reply!
Using the handy google calculator, we have:
2 = link:://:.google.com/search?q=25/37+*+25/37 (link:://:.google.com/search?q=25/37+*+25/37)
3= link:://:.google.com/search?q=25/37+*+25/37+*+25/37 (link:://:.google.com/search?q=25/37+*+25/37+*+25/37)
4 = link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37 (link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37)
5 = link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37 (link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37)
6 = link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37 (link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37)
7 = link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37 (link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37)
8 = link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37 (link:://:.google.com/search?q=25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37+*+25/37)
There you go scooby doo!
Hi Victor and Bayes,
Thanks for your input but I guess you didn't realize how mathematically incompetent I am. I have no idea how to multiply fractions, especially when you have to do it multiple times. Also I don't get how you were able to get a decimal point number from fractions.
(Obviously math was never my best subject)
Maybe to make it easier, can you just give me the odds for 6 misses in a row?
Thanks,
scooby Doo
hehe:)
the odds for 6 misses in a row is 0. 0952.
Quote from: ScoobyDoo on Jun 17, 04:30 PM 2010
I have no idea how to multiply fractions
Hello dear Scooby, a refresh from the math class:
The number from above is called the
numerator, the number from below is called the
denominator.
In order to multiply fractions, multiply all numerators together, and all denominators together:
[attachimg=#]
Quote from: ScoobyDoo on Jun 17, 04:30 PM 2010
especially when you have to do it multiple times.
Just perform this same process as many times as fractions are there.
Multiply together
all numerators in the fractions, and
all denominators in the fractions involved.
Quote from: ScoobyDoo on Jun 17, 04:30 PM 2010
Also I don't get how you were able to get a decimal point number from fractions.
Simply divide the numerator by the denominator.
So
5
-- = 5 /divided by (link:://:.google.com/search?hl=en&q=5+/+2&aq=f&aqi=g10&aql=&oq=&gs_rfai=)/ 2 = 2.5
2or in our case
12
-- = 12 /divided by (link:://:.google.com/search?hl=en&q=12+/+35&aq=f&aqi=g10&aql=&oq=&gs_rfai=)/ 35 = 0.34
35
In order to turn a decimal into a percentage, just multiply it by 100.
In other words,
move the point 2 spaces to the right.
So, in our case:
0.34 = 0.34 x 100 = 34%
Hope it helps.
Victor