You select a marble without looking and then put it back. If you do this 30 times, what is the best prediction possible for the number of times you will pick an orange or a blue marble?
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You select a marble without looking and then put it back. If you do this 30 times, what is the best prediction possible for the number of times you will pick an orange or a blue marble?
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To predict the number of times you will pick an orange or a blue marble when you select a marble 30 times, we first need to know the total number of marbles and the proportion that are orange or blue.
Assuming that the marbles are evenly distributed and that a specific percentage (let’s say 50%) of the marbles are either orange or blue, you would calculate it as follows:
1. If 50% of the marbles are orange or blue, that means in each draw, the probability of picking either color is 0.5.
2. Multiply the total selections (30) by the probability (0.5):
( 30 times 0.5 = 15 )
So, you would predict to pick an orange or blue marble about 15 times.
This is a simple average based on the likelihood of the outcomes. If you have specific numbers for how many of the marbles are orange or blue, you can adjust the calculation accordingly.
Feel free to reach out for more in-depth assistance if you have more questions!