you select a marble without looking and then put it back. if you do this 5 times, what is the best…

you select a marble without looking and then put it back. if you do this 5 times, what is the best prediction possible for the number of times you will pick a marble that is not green?

you select a marble without looking and then put it back. if you do this 5 times, what is the best prediction possible for the number of times you will pick a marble that is not green?

Answer

Explanation:

Step1: Calculate probability of non - green

There are 5 marbles and 0 green marbles. The probability of picking a non - green marble in one draw, $P(\text{non - green})=\frac{5}{5} = 1$.

Step2: Use probability for 5 draws

Since the draws are independent and the probability of picking a non - green marble in one draw is 1, for 5 draws, the expected number of times of picking a non - green marble is $n = P(\text{non - green})\times\text{Number of draws}$. So $n=1\times5 = 5$.

Answer:

5