This is driving me buggy.
You have a set of 50 fruit. 10 of these fruit are apples. What is the probability of getting an apple if you choose 8 fruit at random?
TIA
Printable View
This is driving me buggy.
You have a set of 50 fruit. 10 of these fruit are apples. What is the probability of getting an apple if you choose 8 fruit at random?
TIA
What is the probability of NOT getting an apple.Quote:
Originally Posted by pig
Meaning,
No apple on first try.
No apple on second try.
No apple on third try.
....
Thus, the probability for each one respectively are,
(40)/(50)
(39)/(49)*
(38)/(48)
...
(33)/(43)
Thus,
(40*39*38*...*33)/(50*49*...*43)=(40P8)/(50P8)=.1432
This is the probability of not getting an apple.
Thus, the probability of getting an apple is,
1-.1432=.8568
*)Because you now have 1 less of each fruit after your chose the first one.
If C(N,k) means combination of N things choosing k then the probability of getting no apples is [C(40,8)/C(50,8)]. Thus the probability of getting at least one apple is 1-[C(40,8)/C(50,8)].
Hello, pig!
There are: .C(50,8) .= .(50!)/(8!42!) .= .536,878,650 possible samples.Quote:
You have a set of 50 fruit. .10 of these fruit are apples.
What is the probability of getting an apple if you choose 8 fruit at random?
I assume that "getting an apple" means getting at least one apple.
The opposite of "at least one apple" is "no apples".
To get no apples, we choose 8 of the other 40 fruit.
. . There are: .C(40,8) .= .(40!)/(8!32!) .= .76,904,685 ways
Hence, there are: .536,878,650 - 76,904,685 .= .459,973,965 ways to get some apples.
. . . . . . . . . . . . . . . . . . . . . . .459,973,965
Therefore: . P(some apples) .= .---------------
. . . . . . . . . . . . . . . . . . . . . . .536,878,650
. . I'll let you reduce/simplify the fraction . . .
That sounds so funny.Quote:
Originally Posted by Soroban
I felt the same way . . .
Quote:
Originally Posted by ThePerfectHacker
Rule #1: .Never use "Hello, pig" as a pick-up line.
...Or when you get pulled over... :eek:Quote:
Originally Posted by Soroban
-Dan
No. This is what not to say.Quote:
Originally Posted by topsquark
[GVIDEO]2486751475289802990[/GVIDEO]
Ha ha, niceQuote:
Originally Posted by ThePerfectHacker
Thanks for the info guys. I will digest it.
