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. Then, find the probability that a king and a queen are selected.
A) $\frac { 4 } { 9 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 9 }$
D) 0

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. Then, find the probability that a king and a queen are selected. 
A) $\frac { 4 } { 9 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 9 }$
D) 0

Quizplus · Accepted Answer

The sample space for selecting two cards without replacement from a set of a king, queen, and ace consists of the following combinations: (King, Queen), (King, Ace), (Queen, King), (Queen, Ace), (Ace, King), (Ace, Queen). There are 6 possible outcomes. The event of selecting a king and a queen can happen in 2 of these outcomes: (King, Queen) and (Queen, King). Therefore, the probability is $ \frac{2}{6} = \frac{1}{3} $.

Solve the Problem 49\frac { 4 } { 9 }94​ B) 13\frac { 1 } { 3 }31​

Solve the Problem $\frac { 4 } { 9 }$ B) $\frac { 1 } { 3 }$