SOLUTION: Of 47 bank accounts at small bank, 24 accounts have values of less than $1000 and the rest have values of at least $1000. Suppose 6 accounts are randomly sampled. What is the p

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Of 47 bank accounts at small bank, 24 accounts have values of less than $1000 and the rest have values of at least $1000. Suppose 6 accounts are randomly sampled. What is the p      Log On


   



Question 1019117: Of 47 bank accounts at small bank, 24 accounts have values of less than $1000 and the rest have values of at least $1000. Suppose 6 accounts are randomly sampled.
What is the probability that exactly 5 of the 6 accounts have values of at least $1000?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Five of the 6 accounts
Probability is 6 (the number of ways it can happen)*(23/47)^5(24/47)=0.0860
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check
coin toss is almost the same probability
what is the probability of five heads in a binomial of 6 trials
1---6---15---20---15---6---1
That would be 6/64, or 0.09375, The answer is slightly less than this and the probability is slightly less than half, so it makes sense.