you select a marble without looking and then put it back. if you do this 10 times, what is the best…

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 an orange marble? times

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 an orange marble? times

Answer

Explanation:

Step1: Count total marbles

There are 10 marbles in total (3 orange + 7 non - orange).

Step2: Calculate probability of picking orange

The probability $P$ of picking an orange marble is $\frac{3}{10}$ since there are 3 orange marbles out of 10 total marbles.

Step3: Predict number of times

We do the experiment 10 times. The expected number of times of picking an orange marble is the probability of picking an orange marble times the number of trials. So, $n = \frac{3}{10}\times10$. $n = 3$

Answer:

3