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

Answer:

1/6

Step-by-step explanation:

i took the test and my teacher explained this.

Answer 2

The probability of each outcome in the sample space = 1/2.

What is probability?

Probability is the chance of happening a situation or event.

Here, the probability to get a single gift card is 1/4.

A student can pick two cards, one at a time without any replacement.

Hence, the probability of the student to pick a second card is 1/3.

Hence, the probability of a student to pick two cards = 1/4 × 1/3 = 1/12.

Here, a student might select any of these combinations {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}.

Therefore, the probability of each outcome in the sample space = 1/12 × 6 = 1/2.

Learn more about probability here: https://brainly.com/question/11234923

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