Please help? A gambler has developed a weighted six-sided die with sides marked 1, 2, 3, 4, 5, 6. The probability of rolling a 6 is 0.4 and all other sides are equally likely. (X is a random variable). What is the probability that an even number is rolled?

- anonymous

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- javalos01

hello

- javalos01

do you need help

- anonymous

Yes, please

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- anonymous

I do not understand how to find this probability

- javalos01

well do you know probabilities

- anonymous

Yes I do, but what I am confused about is that he gave us an assigned probability. Usually the probability for rolling a dice is 1/6, but he made it .4 and that confuses me.

- javalos01

ok so you know that the probablilty of rolling two is 1/6 right

- javalos01

or am i wrong

- anonymous

Yes, that is correct

- javalos01

well it is confusing but what is your best guess

- javalos01

we know all of them have a probibility of 1/6 so what u do with the 0.4 is divide or multiply

- anonymous

Multiply?

- javalos01

yes correct

- javalos01

and the equation is

- javalos01

0.4 *6 correct

- anonymous

I thought you said multiply. So wouldn't it be 0.4 x 1/6?

- javalos01

the * is the multivly sign

- javalos01

and the / is division

- javalos01

so after you multiply

- javalos01

u get ??

- anonymous

2.4?

- javalos01

correct

- javalos01

and thats your answer 2.4 you get it

- anonymous

Where did the 6 come from though? I thought we were using 1/6. So wouldn't 0.4 x (1/6)= .0667?

- javalos01

ik

- javalos01

but we have to multiply th ewhole number and then

- anonymous

I thought probability was supposed to be between 0 and 1

- javalos01

@Rushwr

- javalos01

no its one through 6

- javalos01

so if yyou peice it all together 0.4x6=2.4 And that peices it all together

- javalos01

u get it

- javalos01

maybe you can help him understand rushwer

- Rushwr

Soo basically what u have to know is when u add all the probabilities they should be equal to 1

- javalos01

yes they do 1/6+1/6 ect.

- javalos01

and youll get 1 once you add them all and thank you so much rushwer for your help

- javalos01

i really appreciate it

- Rushwr

P1 = probability of rolling 1
P2 = probability of rolling 2
P3 = probability of rolling 3
P4= probability of rolling 4
P5= probability of rolling 5
P6 = Probability of rolling 6
P1+P2+P3+P4+P5+P6 = 1

- javalos01

yea thats what i meant too thats what i was trying to help him get in my equation

- Rushwr

Except for P6 others are same right?
so we can say P1=P2=P3=P4=P5
so instead of P1+P2+P3+P4+P5 we can right 5P1 right?

- javalos01

yea

- javalos01

So do you get it now

- javalos01

@tennis96

- Rushwr

so 5P1 + P6 = 1
We know P6 = 0.4
So 5P1 = 1-0.4 = 0.6
So P1 = 0.6/5 = 0.12
Except for the probability of rolling 6 other probabilities are 0.12

- javalos01

yea correct

- anonymous

But it says all other sides are equally likely. So that means the probability of rolling a 6 is 0.4. And the probability or rolling either a 1,2,3,4, or 5 is 0.4 as well?

- Rushwr

That is ;
P1= 0.12
P2 = 0.12
P3 =0.12
P4 = 0.12
P5 = 0.12
P6 = 0.4
Now add up the probabilities of the even numbers !
That is P2+P4+P6
Then u get the probability of rolling an even number

- javalos01

yea do you get it now tennis

- anonymous

OHH it just clicked

- anonymous

So all the other trials would have to be equal to 0.6 right? so 0.6/ 5= .12

- javalos01

yes thank you so much for letting us help
you

- javalos01

i have a great time personaly helping students find there way

- anonymous

Thank you!

- javalos01

your wekcome thank you or letting us help you

- Rushwr

"The probability of rolling a 6 is 0.4 and all other sides are equally likely" this what the question said. I think u took it wrong !!!
This means probability of rolling 6 is 0.4 and all the others equal. But this doesn't mean all the other sides are equal to 0.4 . Simply it says the probability of rolling 6 is different than the others

- anonymous

Yeah I did haha! thanks for pointing this out to me Rusher!

- Rushwr

Rushwr* lol no problem !!!!

- javalos01

can i have a medal plzz

- javalos01

i helped too lol

- javalos01

im just kidding i dont care about medals i just care about helping other students

- Rushwr

okai Done ! I gave u a medal !!!!!

- javalos01

thnx

- Rushwr

I hope u got the answer right 11 @tennis96 Can I know ur answer before I leave this ?

- Rushwr

No problem :)

- javalos01

yea thats what i asked too

- anonymous

I'm guessing I add all the probabilities together. P(2)= .12 P(4)=.12 P(6)= .4. Added together is this ..

- anonymous

.64?

- Rushwr

Correct !!!!

- anonymous

Okay perfect thank you :)

- javalos01

yes you are correct

- Rushwr

Anytym :)

- javalos01

thank you for everything

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