A bag contains four red cards numbered 1 through 4, four white cards numbered 1through 4, and four black cards numbered 1 through 4. You choose a card at random. What is the number of possible outcomes

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Answer:

12 different outcomes

Step-by-step explanation:

Based on the information provided within the question it can be said that, since only one card is being chosen and there are no repeated cards (same color and number) then the number of possible outcomes is equal to the amount of total cards in the bag.

4 red + 4 white + 4 black = 12 total cards

Therefore there are a total of 12 different outcomes that can occur when choosing one random card from the bag.

The number of possible outcomes is the sample size of the experiment

The number of possible outcomes is 12

The distribution of cards in the bag is given as;

[tex]Red = 4[/tex]

[tex]White =4[/tex]

[tex]Black = 4[/tex]

So, the number of possible outcomes is the sum of the number of each card.

This is represented as:

[tex]n = Red + White + Black[/tex]

So, we have:

[tex]n =4+4+4[/tex]

[tex]n = 12[/tex]

Hence, the number of possible outcomes is 12

Read more about sample size at:

https://brainly.com/question/7522552