Question

You select a marble without looking and then put it back. If you do this 10​ times, what is the best prediction possible for the number of times you will pick a purple​ marble?
5 blue marbles
5 purple marbles
Question content area bottom
Part 1
  
enter your response here times
Round to the nearest whole number.

Answer 1

To predict the number of times you will select a purple marble when selecting marbles 10 times, you can use the probability of picking a purple marble.

Since there are 5 blue marbles and 5 purple marbles, the total number of marbles is:
- Total marbles = 5 blue + 5 purple = 10 marbles.

The probability of picking a purple marble is:
- Probability of purple marble = Number of purple marbles / Total number of marbles = 5 / 10 = 0.5.

If you repeat this selection 10 times, you can expect to pick a purple marble about half of the time:

Expected number of purple marbles = Total selections × Probability of purple = 10 × 0.5 = 5.

Therefore, the best prediction for the number of times you will pick a purple marble is:

**5 times.**