Solve the problem.
-There are 3 cards in a hat; one is a King, one is a Queen, and one is an Ace. Two cards are to be Selected at random without replacement. Using a tree diagram , obtain the sample space for the Experiment. List the elements that make up the sample space.
A) $\mathrm { KK } , \mathrm { KQ } , \mathrm { KA } , \mathrm { Q } K , \mathrm { Q } Q , \mathrm { Q } \mathrm { A } , \mathrm { AK } , \mathrm { AQ } , \mathrm { A } \mathrm { A }$
B) KQ, KA, Q K, Q A, A K, A Q
C) KQA, QKA, AKQ
D) KKQ, KKQ, QAK, AQ A

Question

Solve the problem.
-There are 3 cards in a hat; one is a King, one is a Queen, and one is an Ace. Two cards are to be Selected at random without replacement. Using a tree diagram , obtain the sample space for the Experiment. List the elements that make up the sample space. 
A) $\mathrm { KK } , \mathrm { KQ } , \mathrm { KA } , \mathrm { Q } K , \mathrm { Q } Q , \mathrm { Q } \mathrm { A } , \mathrm { AK } , \mathrm { AQ } , \mathrm { A } \mathrm { A }$
B) KQ, KA, Q K, Q A, A K, A Q
C) KQA, QKA, AKQ
D) KKQ, KKQ, QAK, AQ A

Quizplus · Accepted Answer

Since the cards are drawn without replacement, each draw must result in a different card. The sample space includes all possible 2-card combinations without repetition, accounting for the order of selection.

Solve the Problem B) KQ, KA, Q K, Q A, a K, a One