From: Liz
Sent: Tuesday, May 05, 2009 3:15 PM
To: Stephen
Subject: statistics question
hi dad!
i just took the gallup strengths/finder test.
what are the probabilities of someone having 34 strengths in the same order?
apparently the odds are that only 1 in 33 million people will have your top 5 strengths (out of 34 possible) in the same order as you.
love,
eliz
From: Stephen
Sent: Tuesday, May 05, 2009 5:19 PM
To: Liz
Subject: re: statistics question
Hey – That maybe a tough question…
My first guess is the number of specific combinations of 34 elements selected in any specific order is: 34! (34 factorial), so the probability of selecting exactly that one is 1/34! or about 1 in every 2.95 x 10e+38.
Using this same method (Combinatorial probability), the probability of selecting exactly the same first 5 numbers is: 1/34 x 1/33 x 1/32 x 1/31 x 1/30 = 1 out of every 33,390,720, which matches what you said below.
The Math Dad.
3 responses so far ↓
lisa the knitter // May 6, 2009 at 4:00 pm |
yay for stats!
fellar // May 7, 2009 at 3:51 am |
what were your strengths?!
your dad is smart in math.
Liz // May 7, 2009 at 3:22 pm |
Top 5:
input
connectedness
achiever
responsibility
individualization
____
Rest of My Top 10:
woo
belief
positivity
learner
self-assurance
#33 and 34:
discipline
consistency
haha!