determine the sample space of all of the possible outcomes of choosing a card numbered 1, 2, 3, or 4 and a…
determine the sample space of all of the possible outcomes of choosing a card numbered 1, 2, 3, or 4 and a blue, green, or yellow marble. how many outcomes involve choosing a blue marble? type the answer in the box.
Answer
Explanation:
Step1: Calculate total sample - space
Use the multiplication principle. There are 4 card - numbers and 3 marble - colors. So the total number of possible outcomes in the sample space is (4\times3 = 12). The sample space (S={(1, blue),(1, green),(1, yellow),(2, blue),(2, green),(2, yellow),(3, blue),(3, green),(3, yellow),(4, blue),(4, green),(4, yellow)}).
Step2: Count outcomes with blue marble
For each of the 4 card - numbers, there is a case with a blue marble. So the number of outcomes that involve choosing a blue marble is 4.
Answer:
4