Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Suppose five thank-you notes are written and five envelopes are addressed. Accidentally, the notes are randomly inserted into the envelopes and mailed without checking the addresses. What is the probability that all five notes will be inserted into the correct envelopes?

$\frac{1}{120}$

Precalculus

Chapter 10

Sequences, Induction, and Probability

Section 5

Sample Spaces and Probability

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Piedmont College

Oregon State University

University of Michigan - Ann Arbor

Boston College

Lectures

07:16

In mathematics, a continuo…

04:09

01:44

Twenty-six slips of paper …

02:25

08:21

Missing Pages from Books A…

00:59

01:07

Election Ballots Five name…

00:42

01:43

What is the probability th…

13:05

In $3-5,$ find exact proba…

Find each probability if a…

01:20

Refer to the previous exer…

Okay, So for this question, we have five envelopes which I'm gonna represent as five bashes here and five letters, which will just kind of think about holding in our hands. And we want another probability that if we randomly put a letter in an envelope, what is the probability that we get all five of the correct letters and the cracked envelopes? So we'll put a little see here being that we've put the correct letter first letter in the first in both. So what's the probability that that happened? Well, we had five letters total, and only one of them was the correct one. It's the probability that we picked the correct one would be one in five, right? Well after, let's assume that we did that. We pick the correct one first. Well, then what's the second letter? What's the probability that we get the correct one here? Well, now we've got four letters, but since the correct one went into here, still, only one of the letters is correct for this and float. So we'll have 1/4. And if we continue this all the way down the line for all of our letters, will get 1/3 1/2. And the very last letter, the only one that's left is correct. So we have to pick that one. If we multiply all of these out, we're gonna get 1/1 20 and that will be our final answer for this question.

View More Answers From This Book

Find Another Textbook

In mathematics, a continuous function is a function for which sufficiently s…

Twenty-six slips of paper are each marked with a different letter of the alp…

Missing Pages from Books A bookstore owner examines 5 books from each lot of…

Election Ballots Five names are put on a ballot in a randomly selected order…

What is the probability that a five-card poker hand contains cards of five d…

In $3-5,$ find exact probabilities showing all required computation. Fiv…

Find each probability if a coin is tossed 5 times.$P(5 \text { tails })$…

Refer to the previous exercise. Suppose that 50$\%$ of the overnight parcels…

01:22

Find an equation of an ellipse in the form$$\frac{x^{2}}{M}+\frac{y^{2}}…

00:30

Write each series using summation notation with the summing index $k$startin…

03:16

Sketch a graph of each equation, find the coordinates of the foci, and find …

00:11

Transform each determinant into one that contains a row (or column) with all…

00:31

What can we say about the three points $\left(x_{1}, y_{1}\right),\left(x_{2…

00:18

Use a graphing utility to evaluate each expression.$$\left(\begin{array}…

04:13

00:40

Illustrate combinations of functions that occur in harmonic analysis applica…

01:49

Find the equation of the parabola having its vertex at the origin, its axis …

01:10

Find the term of the binomial expansion containing the given power of $x$.

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.