Eight Coin
eight coins are thrown ssimultaneously find the chance of obtaining at leas 6 heads?
binomial distribution with n = 8, p = 1.2, q = 1/2
when p = q = 1/2,
the formula for k successes in n trials simplifies to
P[k] = nCk / 2^n,
so P[>=6] = [8c6 + 8c7 + 8c8 ] / 2^8
= [28 + 8 + 1] / 256
= 37/256
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edit:
——
with due respect, i suggest that
chantell may re-study the binomial distribution.
as an aid, a link is given below
http://www.easycalculation.com/statistics/learn-binomial-distribution.php
@chantell
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if you have been using your method for years,
high time you changed it !
can’t tutor you here, but here is a hint
at what’s horribly wrong in your working
to get 6 heads in 8 tosses, it’s not just the heads that matter
there are also 2 tails to be got (as 8 tosses)
ONE way this could occur is HHHHHHTT
with probability (1/2)^8 = 1/256
but 6 heads AND 2 tails can occur in many ways,
precisely 8!/6!2! or 8c6 ways
so you MUST multiply [1/256] by 8c6
similarly for 7 heads. 8c7*[1/256]
for 8 heads it’s simply [1/256] or
8c8*[1/256] as full expression
and it is THESE you have to add up
if this isn’t clear by now, please rush to the nearest expert !
8 Coin Puzzle (Solution)
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