Question

A piece of paper is randomly selected from a stack that contains 15 small, 44 large, and 20 extra large pieces.

Which statement is true?


P(large)≈0.75

P(small)≈0.81

P(extra large)≈0.25

Answer 1

Answer: The true statement is (A) P(extra large)≈0.25.

Explanation:

Given that a piece of paper is randomly selected from a stack that contains 15 small, 44 large, and 20 extra large pieces.

We are to select the true statement.

Let S be the sample space for the experiment of choosing a piece.

Then, n(S) = 15 + 44 + 20 = 79.

Let A, B and C denote the events of choosing a small piece, a large piece and an extra large piece respectively.

So, n(A) = 15, n(B) = 44 and n(C) = 20.

Therefore, we have

Thus, the true statement is P(extra large)≈0.25.

Option (A) is correct