Difference between revisions of "1989 AIME Problems/Problem 5"
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== Problem == | == Problem == | ||
| + | When a certain biased coin is flipped five times, the probability of getting heads exactly once is not equal to <math>0^{}_{}</math> and is the same as that of getting heads exactly twice. Let <math>\frac ij^{}_{}</math>, in lowest terms, be the probability that the coin comes up heads in exactly <math>3_{}^{}</math> out of <math>5^{}_{}</math> flips. Find <math>i+j^{}_{}</math>. | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| + | * [[1989 AIME Problems/Problem 6|Next Problem]] | ||
| + | * [[1989 AIME Problems/Problem 4|Previous Problem]] | ||
* [[1989 AIME Problems]] | * [[1989 AIME Problems]] | ||
Revision as of 21:58, 24 February 2007
Problem
When a certain biased coin is flipped five times, the probability of getting heads exactly once is not equal to 
and is the same as that of getting heads exactly twice. Let 
, in lowest terms, be the probability that the coin comes up heads in exactly 
out of 
flips. Find 
.
Solution
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