Give examples on multiplication rule in probability, Mathematics

Assignment Help:

Example: Suppose your football team has 10 returning athletes and 4 new members. How many ways can the coach choose one old player and one new one?

Solution: 
There are 10 ways to choose a returning player and 4 ways to choose a new one. Thus, there are 10 x 4 = 40 ways to choose one of each.

Example: Suppose we pick 2 numbers from 1, 2, 3, 4, 5 with replacement. Find the probability that one number is even.

Solution: Note that we want only one number to be even, not both, so we can rephrase this as: The first number is even AND the second number is odd OR the first number is odd AND the second number is even.

Use the addition and multiplication rules to calculate that there are (2 x 3) + (3 x 2) = 12 ways for this event to occur. Since there are 5 ways of choosing the first number AND 5 ways of choosing the second, S contains 5 x 5= 25 points.

The probability that one number is even is:

P(one number is even) = 12/25

 


Related Discussions:- Give examples on multiplication rule in probability

Solid mensuration, given dimensions: 130cm, 180cm, and 190cm is to be divid...

given dimensions: 130cm, 180cm, and 190cm is to be divided by a line bisecting the longest side shown from its opposite vertex. what''s the area adjacent to 180cm? ;

Rates, we dont know how to do rates

we dont know how to do rates

Variance-measure of central tendency, Variance Square of the standard...

Variance Square of the standard deviation is termed as variance. The semi inter-quartile range - It is a measure of dispersion which includes the use of quartile. A q

Linear programming problem, I have a linear programming problem that we are...

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?

Linear independence and dependence, It is not the first time that we've loo...

It is not the first time that we've looked this topic. We also considered linear independence and linear dependence back while we were looking at second order differential equation

AREA, How do you find the distributive property any faster?

How do you find the distributive property any faster?

What is a negative number, Q. What is a Negative Number? Ans. Neg...

Q. What is a Negative Number? Ans. Negative numbers  are very important in mathematics. We say that positive and negative numbers are  opposites  of one another. Here

Find out how much acid solution mixed, A chemist has one solution which is ...

A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.

Progressions, The sum of the series 1+1/2+1/4+......is

The sum of the series 1+1/2+1/4+......is

Probability of tossing a head with the dime, Q. Find Probability of tossing...

Q. Find Probability of tossing a head with the dime? List the sample space, and find n(S), for the outcomes of tossing a nickel followed by a dime. What is the probability of t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd