You take a standard deck of playing cards, shuffle it, and remove 13 cards without looking at them. You then shuffle the resulting deck of 39 cards, and draw three cards. Each of these three cards is red. What is the conditional probability that every card you removed is black?

You take a standard deck of playing cards, shuffle it, and remove 13 cards without looking at them. You then shuffle the resulting deck of 39 cards, and draw three cards. Each of these three cards is red. What is the conditional probability that every card you removed is black?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

You take a standard deck of playing cards, shuffle it,
and remove 13 cards without looking at them. You
then shuffle the resulting deck of 39 cards, and draw
three cards. Each of these three cards is red. What is
the conditional probability that every card you
removed is black?

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