Probability of occurence: if 1 attempt in 10 succeeds, ....

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If 1 in 10 attemts succed, what is the probability that out of 25 attempts, 2 or more will succeed?
 
Re: Probability of occurence

akirablaid said:
If 1 in 10 attemts succed, what is the probability that out of 25 attempts, 2 or more will succeed?
The probability of no successes in 25 is \(\displaystyle \left( {0.9} \right)^{25}\).
The probability of exactly one success in 25 is \(\displaystyle \left( {25} \right)\left( {0.1} \right)\left( {0.9} \right)^{24}\).
Thus the of two or more successes in 25 is \(\displaystyle 1 - \left[ {\left( {0.9} \right)^{25} + \left( {25} \right)\left( {0.1} \right)\left( {0.9} \right)^{24} } \right]\)
 
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