SOLUTION: If six cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a spade?

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Question 1147394: If six cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a spade?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is 1- probability none of the cards is a spade
That is 1-(0.75^6)=0.8220

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
This is  1 - probability that NO ONE af the six cards is a spade.



The probability that the 1-st card in not a spade is  %2852-13%29%2F52.

The probability that the 2-nd card in not a spade is  %2851-13%29%2F51.

The probability that the 3-rd card in not a spade is  %2850-13%29%2F50.

The probability that the 4-th card in not a spade is  %2849-13%29%2F49.

The probability that the 5-th card in not a spade is  %2848-13%29%2F48.

The probability that the 6-th card in not a spade is  %2847-13%29%2F47.


Therefore, the probability under the question is


    P =  = 0.8397.    ANSWER