SOLUTION: Two cards are simultaneously drawn from an ordinary deck. The probability that they are not both the same suit is: a. 5/17 b. 13/17 c. 12/17 d. 7/17

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Question 119496: Two cards are simultaneously drawn from an ordinary deck. The probability that they are not both the same suit is:
a. 5/17
b. 13/17
c. 12/17
d. 7/17
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The 1st card can be any suit, but once it's drawn, it will be a
particular suit, so let's say it's a club. Now let's say that I
want to draw a card that is the SAME suit-another club. What are
my chances? There are 12 clubs left in the deck now, and since
I've drawn a card, there are 51 to select from.
So, my chances of drawing another club are 12%2F51.
Since I can only have a club or not a club, my chances of
NOT drawing a club are 1+-+%2812%2F51%29
1+-+%2812%2F51%29+=+%2851%2F51%29+-+%2812%2F51%29
%2851%2F51%29+-+%2812%2F51%29+=+39%2F51
39%2F51+=+13%2F17 answer
The answer is (b)