A player is dealt two cards from a 36-card deck, where half the cards are black and the other half are red. If the card is not a red card, the player returns it to the deck before drawing the second card. If the card is a red card, the player sets it aside and then draws the second card. If the second card drawn is a red card, what is the probability that the first card drawn was a black card?

A player is dealt two cards from a 36-card deck, where half the cards are black and the other half are red. If the card is not a red card, the player returns it to the deck before drawing the second card. If the card is a red card, the player sets it aside and then draws the second card. If the second card drawn is a red card, what is the probability that the first card drawn was a black card?

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

A player is dealt two cards from a 36-card deck, where half the cards are black and the other half are red. If the card is
not a red card, the player returns it to the deck before drawing the second card. If the card is a red card, the player
sets it aside and then draws the second card.
If the second card drawn is a red card, what is the probability that the first card drawn was a black card?

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