SOLUTION: Consider a standard deck of playing cards (52 cards, no jokers). If you draw one card, what is the probability that the card is: a. a spade? b. a seven (7)? c. a seven (7) a

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Question 201490: Consider a standard deck of playing cards (52 cards, no jokers). If you draw one card, what is the probability that the card is:
a. a spade?
b. a seven (7)?
c. a seven (7) and a spade?
d. a seven (7) or a spade?

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
Consider a standard deck of playing cards (52 cards, no jokers). If you draw one card, what is the probability that the card is:
a. a spade? 

There are 13 spades out of 52 cards, so we put 13 over 52 and reduce:

b. a seven (7)? 

There are 4 7's out of 52 cards, so we put 4 over 52 and reduce:

c. a seven (7) and a spade? 

There is just one car that is both a 7 and a spade and
that is the 1 card the 7 of spades.  So we put 1 over 52:

d. a seven (7) or a spade? 

Now we use the formula

P(A OR B) = P(A) + P(B) - P(A AND B)

P(7 OR Spade) = P(7) + P(Spade) - P(7 AND Spade)

              = 

              = 

              = 

              = 

Edwin
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