BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

Solutions

Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

Bridge Hands What is the probability that a 13 -card bridge hand consists of all cards from the same suit?

To determine

To find:

The probability that a 13-card bridge hand consists of all cards from the same suit.

Explanation

Approach:

Bridge Hands: The cards held in a game of bridge.

Combinations: Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

Formula used:

Cnr=n!r!(nr)!...(1)

Here, n is the total number of items and r is the number of items being chosen at a time.

If E is the event in a sample space S, then the probability of E is

P(E)=n(E)n(S)...(2)

Calculation:

There are 52 cards in a deck. So,

n=52

So, in 13-card bridge hand, the number of possible outcomes is,

n(S)=C5213

Substitute 52 for n and 13 for r in equation(1).

C5213=52!13!(5213)!=52!13!39!

Now,

n(S)=52!13!39!

There are four suits and each suit has 13 cards.

If 13-card bridge hand consists of all cards from the same suit then the number of possible outcomes is,

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 14 Solutions

Show all chapter solutions add
Sect-14.1 P-11ESect-14.1 P-12ESect-14.1 P-13ESect-14.1 P-14ESect-14.1 P-15ESect-14.1 P-16ESect-14.1 P-17ESect-14.1 P-18ESect-14.1 P-19ESect-14.1 P-20ESect-14.1 P-21ESect-14.1 P-22ESect-14.1 P-23ESect-14.1 P-24ESect-14.1 P-25ESect-14.1 P-26ESect-14.1 P-27ESect-14.1 P-28ESect-14.1 P-29ESect-14.1 P-30ESect-14.1 P-31ESect-14.1 P-32ESect-14.1 P-33ESect-14.1 P-34ESect-14.1 P-35ESect-14.1 P-36ESect-14.1 P-37ESect-14.1 P-38ESect-14.1 P-39ESect-14.1 P-40ESect-14.1 P-41ESect-14.1 P-42ESect-14.1 P-43ESect-14.1 P-44ESect-14.1 P-45ESect-14.1 P-46ESect-14.1 P-47ESect-14.1 P-48ESect-14.1 P-49ESect-14.1 P-50ESect-14.1 P-51ESect-14.1 P-52ESect-14.1 P-53ESect-14.1 P-54ESect-14.1 P-55ESect-14.1 P-56ESect-14.1 P-57ESect-14.1 P-58ESect-14.1 P-59ESect-14.1 P-60ESect-14.1 P-61ESect-14.1 P-62ESect-14.1 P-63ESect-14.1 P-64ESect-14.1 P-65ESect-14.1 P-66ESect-14.1 P-67ESect-14.1 P-68ESect-14.1 P-69ESect-14.1 P-70ESect-14.1 P-71ESect-14.1 P-72ESect-14.1 P-73ESect-14.1 P-74ESect-14.1 P-75ESect-14.1 P-76ESect-14.1 P-77ESect-14.1 P-78ESect-14.1 P-79ESect-14.1 P-80ESect-14.1 P-81ESect-14.1 P-82ESect-14.1 P-83ESect-14.1 P-84ESect-14.1 P-85ESect-14.1 P-86ESect-14.1 P-87ESect-14.1 P-88ESect-14.1 P-89ESect-14.1 P-90ESect-14.1 P-91ESect-14.1 P-92ESect-14.1 P-93ESect-14.1 P-94ESect-14.2 P-1ESect-14.2 P-2ESect-14.2 P-3ESect-14.2 P-4ESect-14.2 P-5ESect-14.2 P-6ESect-14.2 P-7ESect-14.2 P-8ESect-14.2 P-9ESect-14.2 P-10ESect-14.2 P-11ESect-14.2 P-12ESect-14.2 P-13ESect-14.2 P-14ESect-14.2 P-15ESect-14.2 P-16ESect-14.2 P-17ESect-14.2 P-18ESect-14.2 P-19ESect-14.2 P-20ESect-14.2 P-21ESect-14.2 P-22ESect-14.2 P-23ESect-14.2 P-24ESect-14.2 P-25ESect-14.2 P-26ESect-14.2 P-27ESect-14.2 P-28ESect-14.2 P-29ESect-14.2 P-30ESect-14.2 P-31ESect-14.2 P-32ESect-14.2 P-33ESect-14.2 P-34ESect-14.2 P-35ESect-14.2 P-36ESect-14.2 P-37ESect-14.2 P-38ESect-14.2 P-39ESect-14.2 P-40ESect-14.2 P-41ESect-14.2 P-42ESect-14.2 P-43ESect-14.2 P-44ESect-14.2 P-45ESect-14.2 P-46ESect-14.2 P-47ESect-14.2 P-48ESect-14.2 P-49ESect-14.2 P-50ESect-14.2 P-51ESect-14.2 P-52ESect-14.2 P-53ESect-14.2 P-54ESect-14.2 P-55ESect-14.2 P-56ESect-14.2 P-57ESect-14.2 P-58ESect-14.2 P-59ESect-14.2 P-60ESect-14.2 P-61ESect-14.2 P-62ESect-14.2 P-63ESect-14.2 P-64ESect-14.2 P-65ESect-14.2 P-66ESect-14.2 P-67ESect-14.2 P-68ESect-14.3 P-1ESect-14.3 P-2ESect-14.3 P-3ESect-14.3 P-4ESect-14.3 P-5ESect-14.3 P-6ESect-14.3 P-7ESect-14.3 P-8ESect-14.3 P-9ESect-14.3 P-10ESect-14.3 P-11ESect-14.3 P-12ESect-14.3 P-13ESect-14.3 P-14ESect-14.3 P-15ESect-14.3 P-16ESect-14.3 P-17ESect-14.3 P-18ESect-14.3 P-19ESect-14.3 P-20ESect-14.3 P-21ESect-14.3 P-22ESect-14.3 P-23ESect-14.3 P-24ESect-14.3 P-25ESect-14.3 P-26ESect-14.3 P-27ESect-14.3 P-28ESect-14.3 P-29ESect-14.3 P-30ESect-14.3 P-31ESect-14.3 P-32ESect-14.3 P-33ESect-14.3 P-34ESect-14.3 P-35ESect-14.3 P-36ESect-14.3 P-37ESect-14.3 P-38ESect-14.3 P-39ESect-14.3 P-40ESect-14.3 P-41ESect-14.3 P-42ESect-14.3 P-43ESect-14.4 P-1ESect-14.4 P-2ESect-14.4 P-3ESect-14.4 P-4ESect-14.4 P-5ESect-14.4 P-6ESect-14.4 P-7ESect-14.4 P-8ESect-14.4 P-9ESect-14.4 P-10ESect-14.4 P-11ESect-14.4 P-12ESect-14.4 P-13ESect-14.4 P-14ESect-14.4 P-15ESect-14.4 P-16ESect-14.4 P-17ESect-14.4 P-18ESect-14.4 P-19ESect-14.4 P-20ESect-14.4 P-21ESect-14.4 P-22ESect-14.4 P-23ESect-14.4 P-24ESect-14.4 P-25ESect-14.4 P-26ESect-14.4 P-27ESect-14.4 P-28ESect-14.4 P-29ESect-14.4 P-30ESect-14.4 P-31ESect-14.CR P-1CCSect-14.CR P-2CCSect-14.CR P-3CCSect-14.CR P-4CCSect-14.CR P-5CCSect-14.CR P-6CCSect-14.CR P-7CCSect-14.CR P-8CCSect-14.CR P-9CCSect-14.CR P-1ESect-14.CR P-2ESect-14.CR P-3ESect-14.CR P-4ESect-14.CR P-5ESect-14.CR P-6ESect-14.CR P-7ESect-14.CR P-8ESect-14.CR P-9ESect-14.CR P-10ESect-14.CR P-11ESect-14.CR P-12ESect-14.CR P-13ESect-14.CR P-14ESect-14.CR P-15ESect-14.CR P-16ESect-14.CR P-17ESect-14.CR P-18ESect-14.CR P-19ESect-14.CR P-20ESect-14.CR P-21ESect-14.CR P-22ESect-14.CR P-23ESect-14.CR P-24ESect-14.CR P-25ESect-14.CR P-26ESect-14.CR P-27ESect-14.CR P-28ESect-14.CR P-29ESect-14.CR P-30ESect-14.CR P-31ESect-14.CR P-32ESect-14.CR P-33ESect-14.CR P-34ESect-14.CR P-35ESect-14.CR P-36ESect-14.CR P-37ESect-14.CR P-38ESect-14.CR P-39ESect-14.CR P-40ESect-14.CR P-41ESect-14.CR P-42ESect-14.CR P-43ESect-14.CR P-44ESect-14.CR P-45ESect-14.CR P-46ESect-14.CR P-47ESect-14.CR P-48ESect-14.CR P-49ESect-14.CR P-50ESect-14.CT P-1CTSect-14.CT P-2CTSect-14.CT P-3CTSect-14.CT P-4CTSect-14.CT P-5CTSect-14.CT P-6CTSect-14.CT P-7CTSect-14.CT P-8CTSect-14.CT P-9CTSect-14.CT P-10CTSect-14.CT P-11CTSect-14.CT P-12CTSect-14.CT P-13CTSect-14.CT P-14CTSect-14.CT P-15CTSect-14.FOM P-1PSect-14.FOM P-2PSect-14.FOM P-3PSect-14.FOM P-5PSect-14.FOM P-6PSect-14.FOM P-7P