Question

you select a marble without looking and then put it back. if you do this 3,000 times, what is the best prediction possible for the number of times you will pick a marble that is not pink?

Explanation:

Step1: Count total and pink marbles

Total marbles: 6 (5 purple + 1 pink). Pink marbles: 1. Non - pink marbles: \(6 - 1=5\).

Step2: Find probability of non - pink

Probability of non - pink (\(P\)): \(\frac{\text{Non - pink marbles}}{\text{Total marbles}}=\frac{5}{6}\).

Step3: Predict number of non - pink picks

Number of trials (\(n\)) = 3000. Expected number = \(n\times P = 3000\times\frac{5}{6}\).
\(3000\times\frac{5}{6}=\frac{3000\times5}{6}=500\times5 = 2500\).

Answer:

2500