a plastic cube has 6 different faces. each face is painted either orange, yellow or green. the cube is rolled 36 times, and the results are: orange is 12, yellow is 6, and green is 18. how many faces of the plastic cube would you expect to be painted yellow?
the answer choices are 1; 2; 3; or 4.
How do I solve this?
6 out of 36 = 6/36 = 1/6
To solve this problem, you can use the concept of expected value. The expected value is the average outcome you would expect to get over a large number of trials.
In this case, you rolled the cube 36 times, and you have the results for each face. The total number of rolls is 36, so the expected value for each face can be calculated by dividing the number of times it appeared by the total number of rolls and then multiplying by 6 (since there are 6 faces).
Let's calculate the expected value for the yellow face:
Step 1: Divide the number of times the yellow face appeared (6) by the total number of rolls (36):
6 / 36 = 1 / 6
Step 2: Multiply the result by 6 (the number of faces):
(1 / 6) * 6 = 1
The expected value for the yellow face is 1.
Therefore, the answer to the question "how many faces of the plastic cube would you expect to be painted yellow?" is 1.