Question

An urn contains 10 balls of the same shape, $x$ are red and the rest is blue. Donald draws at random, simultaneously, 3 balls from the urn. Let A be the event: There are exactly 2 blue balls in the sample drawn by Donald and B be the event that Donald drew exactly 2 red balls. It's known that $3P(A) = 5P(B)$. How many blue balls are there in the urn, before drawing the three balls?

          An urn contains 10 balls of the same shape, $x$ are red and the rest is blue. Donald draws at random,
simultaneously, 3 balls from the urn. Let A be the event: There are exactly 2 blue balls in the sample drawn
by Donald and B be the event that Donald drew exactly 2 red balls. It's known that $3P(A) = 5P(B)$. How
many blue balls are there in the urn, before drawing the three balls?

An urn contains 10 balls of the same shape, x are red and the rest is blue. Donald draws at random,
simultaneously, 3 balls from the urn. Let A be the event: There are exactly 2 blue balls in the sample drawn
by Donald and B be the event that Donald drew exactly 2 red balls. It's known that 3P(A) = 5P(B). How
many blue balls are there in the urn, before drawing the three balls?

Added by Lourdes C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lien Le

01/18/2024

Step 1

Since there are a total of 10 balls in the urn, the number of blue balls would be 10 - x. Show more…

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An urn contains 10 balls of the same shape, x are red and the rest is blue. Donald draws at random, simultaneously, 3 balls from the urn. Let A be the event : There are exactly 2 blue balls in the sample drawn by Donald and B be the event that Donald drew exactly 2 red balls. It's known that 3P(A)=5P(B). How many blue balls are there in the urn, before drawing the three balls? An urn contains 10 balls of the same shape, x are red and the rest is blue. Donald draws at random. simultaneously, 3 balls from the urn. Let A be the event : There are exactly 2 blue balls in the sample drawn by Donald and B be the event that Donald drew exactly 2 red balls. It's known that 3P(A) = 5P(B). How many blue balls are there in the urn, before drawing the three balls?