Question

A teacher offers gift cards as a reward for classroom participation. The teacher places the gift cards from four different stores into a bag and mixes them well. A student gets to select two gift cards at random (one at a time and without replacement). Each outcome in the sample space for the random selection of two gift cards is equally likely. What is the probability of each outcome in the sample space?

1/16
1/6
1/4
1/2

Answer 1

its either 1/4 or 1/16. i havent done this in forever.. so i cant figure out which one it is. go with your gut feeling, but i think its 1/4

Answer 2

The answer is D. 1/2

Explanation:

Because the probability of getting each gift card is 1/4. So since the student picks it without replacement, this means that we're multiplying 1/4 X 1/3 which would equal 1/12. Now we multiply 1/12 by 6 because there are six different variations of getting the cards. This would give us 6/12 or 1/2.