One card is drawn from a well-shuffled deck of 52 cards. Find the following. a) Probability of getting a queen.b) Probability of getting a club.

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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One card is drawn from a well-shuffled deck of 52 cards. Find the following.

a) Probability of getting a queen.b) Probability of getting a club.

Expert Solution
Step 1

Introduction:

The probability of an event in an experiment is the number outcomes in the experiment that are favorable to the event, divided by the total number of possible outcomes in the experiment.

A standard deck of 52 cards has 4 suits having an equal number of cards each- spades, clubs, hearts, and diamonds.

Each suit has 3 face cards- 1 King, 1 Queen, and 1 Jack. So, there are a total of 12 (= 4 × 3)face cards in the deck.

Step 2

a.

There are 4 queens in a deck of 52 cards.

Then the probability of selecting a queen is as follows:

Probability homework question answer, step 2, image 1

Thus, the probability of selecting a queen is 0.076.

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