Magda is playing a game with colored cards. Each card has a number on it. Magda chooses one card at random. All possible outcomes are shown in the table, where each outcome has equal probability.
Red (R) Green (G) Yellow (Y) Blue (B)
1 R comma 1 G comma 1 Y comma 1 B comma 1
2 R comma 2 G comma 2 Y comma 2 B comma 2
3 R comma 3 G comma 3 Y comma 3 B comma 3
Question
What is the probability that Magda chooses a card with an even number given that the card is yellow?
Answer options with 4 options
A.
one-twelfth
B.
one-fourth
C.
one-third
D.
one-half
Given that the card is yellow, there are 3 possible outcomes: Y1, Y2, and Y3. Of these 3 outcomes, only Y2 is an even number. Therefore, the probability of choosing a card with an even number given that the card is yellow is 1 out of 3, or 1/3.
Therefore, the correct answer is C. one-third.