Based on the given information, where there are 7 blue marbles and 3 purple marbles, and assuming the selection process is random and each marble has an equal chance of being selected, the best prediction for the number of times you will pick a blue or a purple marble can be calculated as follows:
Out of the 60 selections, we can expect to pick a blue marble approximately 7/10 times (since there are 7 blue marbles out of a total of 10 marbles). Therefore, the best prediction for the number of times you will pick a blue marble is around 60 * (7/10) = 42 times.
Similarly, we can expect to pick a purple marble approximately 3/10 times (since there are 3 purple marbles out of a total of 10 marbles). Therefore, the best prediction for the number of times you will pick a purple marble is around 60 * (3/10) = 18 times.
Hence, the best prediction is that you will pick a blue marble around 42 times and a purple marble around 18 times out of the 60 selections.
~~~Harsha~~~