If 2 cards are selected from a standard deck of 52 cards without replacement, find these probailities.
a. Both are spades
b. Both are the same suit
c. Both are kings
+130511 First the number of possible sets = C(52,2) = 1326
a) Two spades.......there are 13 spades and we want to choose any set of 2 of them = C(13,2) = 78
So.... 78/1326 = 1/17 = about .059 = about 5.9%
b) Both are the same suite.....there are 13 cards in one suit.....so C(13,2) = 78. But there are 4 suites, so we have ...
[4*C(13,2)] /1326 = 4/17 = about .235 or about 23.5%
c) Two kings ..... there are 4 kings and we want to choose 2 of them......so C(4,2) = 6
And..... 6/1326 = 1/221 = about .0045 = about .45%
+130511 First the number of possible sets = C(52,2) = 1326
a) Two spades.......there are 13 spades and we want to choose any set of 2 of them = C(13,2) = 78
So.... 78/1326 = 1/17 = about .059 = about 5.9%
b) Both are the same suite.....there are 13 cards in one suit.....so C(13,2) = 78. But there are 4 suites, so we have ...
[4*C(13,2)] /1326 = 4/17 = about .235 or about 23.5%
c) Two kings ..... there are 4 kings and we want to choose 2 of them......so C(4,2) = 6
And..... 6/1326 = 1/221 = about .0045 = about .45%
