you select a marble without looking and then put it back. if you do this 60 times, what is the best…
you select a marble without looking and then put it back. if you do this 60 times, what is the best prediction possible for the number of times you will pick a blue marble? times
Answer
Explanation:
Step1: Calculate total marbles
There are 10 blue marbles and 2 green marbles, so the total number of marbles is $10 + 2=12$.
Step2: Calculate probability of picking blue
The probability $P$ of picking a blue marble in one - draw is the number of blue marbles divided by the total number of marbles. So $P=\frac{10}{12}=\frac{5}{6}$.
Step3: Predict number of blue - picks
We draw 60 times. The expected number of times we pick a blue marble is the probability of picking a blue marble times the number of draws. So the number of times is $\frac{5}{6}\times60 = 50$.
Answer:
50