SOLUTION: Suppose you are asked to pick 3 numbers from 1 to 20 to win a prize. What is the probability that one of the numbers you will pick is the winning number?

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Question 451172: Suppose you are asked to pick 3 numbers from 1 to 20 to win a prize. What is the probability that one of the numbers you will pick is the winning number?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Suppose you are asked to pick '3 numbers' from 1 to 20 to win a prize

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p(picking the winning number)= 1/20 and q = 19/20

nCx = n%21%2F%28x%21%28n-x%29%21%29

 P(picking the winning number) = 3C1(.05)^1 (.95)^2 = .1354