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

the speed of the motor boat, A motor boat takes Six hours to cover 100 km ...

A motor boat takes Six hours to cover 100 km downstream and 30 km  upstream. If the motor boat goes 75 km downstream and returns  back to its starting point in 8 hours, find the sp

What is the total number of pounds they bought if the total, The student co...

The student council bought two various kinds of candy for the school fair. They purchased 40 pounds of candy at $2.15 per pound and x pounds at $1.90 per pound. What is the total n

Math probles, Belleville lake was originally blue because it only had 11 al...

Belleville lake was originally blue because it only had 11 algae plants. then towns and farms cropped up by the lake .this cause 446 more algae plants to grow which turned the lake

What is the limit of sin (1/x) when x tends to zero?, As x tends to zero th...

As x tends to zero the value of 1/x tends to either ∞ or -∞. In this situation we will not be sure about the exact value of 1/x. As a result we will not be sure about the exact/app

Calculate the number-average and weight-average molar mass, Three mixtures ...

Three mixtures were prepared with very narrow molar mass distribution polyisoprenesamples with molar masses of 8000, 25,000, and 100,000 as indicated below. (a) Equal numbers of

What is dividing fractions, What is Dividing Fractions? If you want to ...

What is Dividing Fractions? If you want to divide two fractions, you invert the second fraction (that is, turn it upside-down) and change the division sign to a multiplication

Division, Before taking up division of polynomials, let us acquaint...

Before taking up division of polynomials, let us acquaint ourselves with some basics. Suppose we are asked to divide 16 by 2. We know that on dividing 16 by

Arc length formula - applications of integrals, Arc length Formula L = ...

Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx                                     if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy

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