Question

Questions 1-6 of 6 Page 1 of 1

Question 1 (2 points)
A deck of cards has four symbols on it - Hearts, Spades, Diamonds, and Clubs. If you draw two cards at random from the deck, how many
possibilities of combinations are there in the sample space? (Note: you can consider that SH and HS are the same thing.)
(For example: if I draw a heart and a spade, that would be HS. If I draw a heart and another heart, that would be HH. These are two possible
events in the sample space.)
са
10
Сь
6
4
Od
12

Answer 1

10

Explanation:

Symbols in a deck :

{S, H, D, C}

Drawing two cards :

The possibilities of combination in the sample space :

_____ S ______ H ______ D ______ C

S ___ SS _____ SH _____ SD _____ SC

H ___ HS _____ HH ____ HD _____ HC

D ___ DS _____ DH ____ DD _____ DC

C ___ CS _____ CH ____ CD _____ CC

IF the order of selection does not matter, then we have :

{SS, SH, SD, SC, HH, HD, HC, DD, DC, CC}