Find what are the odds that a randomly selected number

Assignment Help Mathematics

Reference no: EM13119005

Three probability problems
1. What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?
(For instance, 23 does not have a digit 7, but 73 does.)

2. There are 4 slots, each containing any of letters a, m, h, t.

HINT:

What are the odds that letters stored in these slots read the word math?
Remember that each slot may contain any of the 4 letters. For this problem "aaaa" is a possibility.

3. Consider strings of length 9 with elements being a, b or c. How many strings will contain at least 6 bâ??s?

HINT:

This one is probably the most difficult problem on the homework. Try to break up the event of "AT LEAST 6 bâ??s" into smaller mutually exclusive events that are easier to work with. For example, consider first finding the number of ways that a string could contain EXACTLY 6. Then try EXACTLY 7

Once you found how many ways to have put in the 6 b's, you are not done with the exactly 6 part. You still need to account for the remaining 3 spaces, each of which can be filled with an "a" or "c" (otherwise it wouldn't have 6 b's).

Reference no: EM13119005

Questions Cloud

What is the ph before any base is added : A 25.0-mL sample of 0.150 M butanoic acid is titrated with a 0.150 M NaOH solution. What is the pH before any base is added? The Ka of butanoic acid is 1.5 x 10-5.

Power series representation : Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? Use part (a) to find a power series for f(x) = x ln(1+x).

Determine if they were the same species : You have been given several bacterial strains from various countries around the world. It is thought that all the strains cause the same gastrointestinal illness and are genetically identical.

Draw a supply-demand diagram of the kenyan mangoes market : Draw a supply-demand diagram of the kenyan mangoes market to illustrate both the autarky and free trade positions. make sure you use all the information presented in the some facts above?

Find what are the odds that a randomly selected number : What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?

Find average waiting time in the queue : Currently have to wait on line before the technician is able to answer their call. What is the average waiting time in the queue (in hours) before the technician answers a customer's call?

What volume will the gas occupy : A gas occupies a volume of 2.45 L at a pressure of 1.03 atm. What volume will the gas occupy as the pressure changes to 0.980 atm.

What is seth angular position at measured counterclockwise : What is Seth’s angular position at = 3.2 measured counterclockwise from the top? Give your answer as an angle in degrees between 0 and 360 degrees.

What would happen to the chemistry of the bacterial : What would happen to the chemistry of the bacterial cell's plasma membrane in the alcohol were to build up in its environment? Explain

User Account

All Pages