1
AssignmentMultiple Choice

Scope of Inference

Question 1 • VA-Probability and Statistics

In a large ball pit, 20% of the balls are red. You plan to jump in and randomly select 10 balls.Which statement is true?

Answer
A
You are guaranteed to have exactly two red balls in your sample.
B
You will likely have one to three red balls in your sample.
C
You will most likely have eight red balls in your sample.
D
It is unlikely that you will have exactly two red balls in your sample.

Explanation

Since 20% of the balls are red, the expected number of red balls in 10 selections is 0.20 × 10 = 2. The number can vary, so exactly two is not guaranteed, but getting around two—such as one to three red balls—is likely. Eight red balls would be far above the expected number.

AI-written and checked against the verified answer.

Next