Question

A bag contains 41 U.S. quarters and nine Canadian quarters. (The coins are identical in size.) If six quarters are randomly picked from the bag, what is the probability of getting at least one Canadian quarter? (Round your answer to one decimal place.

%

Answer 1

The coins are picked without replacement.

The probability of picking at least one Canadian quarter is 1 minus the probability of picking 6 U.S. quarters:

`1 - ( (41)/(50) )( (40)/(49) )( (39)/(48) )( (38)/(47) )( (37)/(46) )( (36)/(45) )`

`= 1 - .28296 = .71704`

So the probability of picking at least one Canadian quarter is about 71.7%.