Question

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?

Answer 1

hello

Answer 2

do you need help

Answer 3

Yes, please

Answer 4

I do not understand how to find this probability

Answer 5

well do you know probabilities

Answer 6

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.

Answer 7

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

Answer 8

or am i wrong

Answer 9

Yes, that is correct

Answer 10

well it is confusing but what is your best guess

Answer 11

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

Answer 12

Multiply?

Answer 13

yes correct

Answer 14

and the equation is

Answer 15

0.4 *6 correct

Answer 16

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

Answer 17

the * is the multivly sign

Answer 18

and the / is division

Answer 19

so after you multiply

Answer 20

u get ??

Answer 21

2.4?

Answer 22

correct

Answer 23

and thats your answer 2.4 you get it

Answer 24

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

Answer 25

ik

Answer 26

but we have to multiply th ewhole number and then

Answer 27

I thought probability was supposed to be between 0 and 1

Answer 28

@Rushwr

Answer 29

no its one through 6

Answer 30

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

Answer 31

u get it

Answer 32

maybe you can help him understand rushwer

Answer 33

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

Answer 34

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

Answer 35

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

Answer 36

i really appreciate it

Answer 37

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

Answer 38

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

Answer 39

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?

Answer 40

yea

Answer 41

So do you get it now

Answer 42

@tennis96

Answer 43

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

Answer 44

yea correct

Answer 45

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?

Answer 46

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

Answer 47

yea do you get it now tennis

Answer 48

OHH it just clicked

Answer 49

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

Answer 50

yes thank you so much for letting us help
you

Answer 51

i have a great time personaly helping students find there way

Answer 52

Thank you!

Answer 53

your wekcome thank you or letting us help you

Answer 54

"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

Answer 55

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

Answer 56

Rushwr* lol no problem !!!!

Answer 57

can i have a medal plzz

Answer 58

i helped too lol

Answer 59

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

Answer 60

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

Answer 61

thnx

Answer 62

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

Answer 63

No problem :)

Answer 64

yea thats what i asked too

Answer 65

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

Answer 66

.64?

Answer 67

Correct !!!!

Answer 68

Okay perfect thank you :)

Answer 69

yes you are correct

Answer 70

Anytym :)

Answer 71

thank you for everything