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Probability of rolling a dice.

Benjimoron Avatar
8y, 8m agoPosted 8 years, 8 months ago
Hoping someone can help me figure this out, was trying to work this out with my father in law last night.

Basically what's the probability of rolling a 1 on a dice? 1/6 surely?

Therefore what's the probability of rolling a 1 on a dice if you roll it 6 times? I said it was 1/1 but as he quite rightly pointed out that would be a certainty and it's not a certainty. The only way I can think to explain it is that it is all based on averages, ie if you roll it 6 times then on average you would get a 1 once which would be 1/1 wouldn't it???
Benjimoron Avatar
8y, 8m agoPosted 8 years, 8 months ago
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#1
no, its 1/6 for every number, if it was 1/1 you'd get 1 on every roll.

1/6 means you've got one chance in 6 of getting the number. theres 6 numbers on the die, so EVERY number is 1/6
#2
nope it would be 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/ 46656
#3
u ADDED 1/6 6 times making it 1/1
#4
t0mm
no, its 1/6 for every number, if it was 1/1 you'd get 1 on every roll.

1/6 means you've got one chance in 6 of getting the number. theres 6 numbers on the die, so EVERY number is 1/6


I mean getting a 1 somewhere on your six throws.

So you throw six times and therefore will get six numbers, what's the probability of one of those being a 1?
#5
faiza1
nope it would be 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/ 46656


Which would mean you'd get a 1 every 46656 times?:roll:
#6
1/6 :)
#7
faiza1
nope it would be 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/ 46656


Are you sure?

So if I ran this experiment 46656 times then I would only get a 1 once???
#8
Benjimoron
Are you sure?

So if I ran this experiment 46656 times then I would only get a 1 once???


do it and we will see, lol :thumbsup:
#9
You need to do a tree diagram, I would but I forgot him to do them :|, there not hard to do either, take about 5mins
#10
http://www.knowyourluck.com/dice1.html

There you go,

told you I was right :thumbsup: *cheeky smile*
#11
t0mm
http://www.knowyourluck.com/dice1.html

There you go,

told you I was right :thumbsup: *cheeky smile*


That part's easy!!! That's for rolling the dice ONCE!
#12
the probability of rolling a 1 six times in a row would be 1/46656
#13
nononono that's for rolling it 6 times.

They were unsuccessfull 5 times.
Successful once.
#14
Is the answer 6/6 but bare in mind it's an average not a certainty?
#15
its simple maths guys!!!
#16
faiza1
the probability of rolling a 1 six times in a row would be 1/46656


he doesn't mean in a row.
#17
Benjimoron
Is the answer 6/6 but bare in mind it's an average not a certainty?


No, that means in 6 rolls you'd get a 1 six times.
#18
In each throw you have a 1/6 chance of rolling a 6.

If you roll it 6 times you have a 6/36 chance of rolling a 6.
#19
t0mm
nononono that's for rolling it 6 times.

They were unsuccessfull 5 times.
Successful once.


So as a whole it happened 1 time out of one? See my point?
#20
Benjimoron
That part's easy!!! That's for rolling the dice ONCE!


It's the same.

Throw 1 dice = 1/6 chance of getting it = 1/6
Throw 2 dice = 2/12 chance of getting it = 1/6
Throw 3 dice = 3/18 chance of getting it = 1/6

etc.
#21
t0mm
he doesn't mean in a row.


o ok... so whats the question??!?
#22
t0mm
No, that means in 6 rolls you'd get a 1 six times.


I'm talking about as a whole.
#23
If he rolls a dice six times what's the chance of getting a 1 once
It's 1/6.
#24
If you roll a dice 6 times but only get a 1 once then this is the results:

1/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 = 3125/46656 = 0.6698

5/6 = chance of not getting a 1
1/6 = chance of getting a 1
#25
Benjimoron
I'm talking about as a whole.


See, this is where you just threw me out the plane..
#26
ohhhhh i get it!
#27
nightswimmer
It's the same.

Throw 1 dice = 1/6 chance of getting it = 1/6
Throw 2 dice = 2/12 chance of getting it = 1/6
Throw 3 dice = 3/18 chance of getting it = 1/6

etc.


So if I threw a dice one thousand times then the probability of getting at least one 1 would be 1/6? Surely not??? I would be virtually guarenteed to get a one somewhere!
#28
Benjimoron
So if I threw a dice one thousand times then the probability of getting at least one 1 would be 1/6? Surely not??? I would be virtually guarenteed to get a one somewhere!


Nope, it's still 1/6. You are assuming that what you have thrown before affects the next throw - it doesn't.

If you toss a coin 999 times and get heads each time, the chances of getting tails on the next occasion is still 1/2.
#29
BillButter
If you roll a dice 6 times but only get a 1 once then this is the results:

1/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 = 3125/46656 = 0.6698

5/6 = chance of not getting a 1
1/6 = chance of getting a 1


:thumbsup:
#30
nightswimmer
Nope, it's still 1/6. You are assuming that what you have thrown before affects the next throw - it doesn't.

If you toss a coin 999 times and get heads each time, the chances of getting tails on the next occasion is still 1/2.


:thumbsup:
#31
Benjimoron;1687713
That part's easy!!! That's for rolling the dice ONCE!

Wrong, that is the probabilty of one outcome on one die!:oops:
The probability of throwing a number on single die is 1 in 6 not as in this case 6 throws so all you saying 1/6 are wrong.
#32
nightswimmer
Nope, it's still 1/6. You are assuming that what you have thrown before affects the next throw - it doesn't.

If you toss a coin 999 times and get heads each time, the chances of getting tails on the next occasion is still 1/2.


I'm not talking about the next occasion, I'm talking about one of the throws resulting in a 1. To use your example if you tossed the coin 999 times then you surely would be virtually guarnenteed to have got a head?
#33
If you throw a dice six times the probability is 1 in 6 [because the other 5 can be 2,3,4,5,6]

I thought passing maths at GCSE was the end of using numbers! Obviously not!
#34
TheDoc;1687728
In each throw you have a 1/6 chance of rolling a 6.

If you roll it 6 times you have a 6/36 chance of rolling a 6.

Wrong
#35
nightswimmer;1687745
It's the same.

Throw 1 dice = 1/6 chance of getting it = 1/6
Throw 2 dice = 2/12 chance of getting it = 1/6
Throw 3 dice = 3/18 chance of getting it = 1/6

etc.

Wrong
#36
Just incase nobody saw the first time:

If you roll a dice 6 times but only get a 1 once then these are the results:

1/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 = 3125/46656 = 0.6698

5/6 = chance of not getting a 1
1/6 = chance of getting a 1

and yes its right Im the king of maths...
#37
warmapplepie
Wrong


Thanks, I know that! What's the right answer????
#38
BillButter
Just incase nobody saw the first time:

If you roll a dice 6 times but only get a 1 once then these are the results:

1/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 = 3125/46656 = 0.6698

5/6 = chance of not getting a 1
1/6 = chance of getting a 1

and yes its right Im the king of maths...

So you've got a less then one chance of getting a one? o.O
#39
BillButter;1687752
If you roll a dice 6 times but only get a 1 once then this is the results:

1/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 = 3125/46656 = 0.6698

5/6 = chance of not getting a 1
1/6 = chance of getting a 1

Also wrong, that is the probability of throwing a 1 on 1 die but if you don't throw a 1 on 5 dice, then on the 6th this is 1 in 6. In this scenario, you have calculated the probabilty of throwing a 1 only once in 6 throws :p
#40
BillButter
Just incase nobody saw the first time:

If you roll a dice 6 times but only get a 1 once then these are the results:

1/6 x 5/6 x 5/6 x 5/6 x 5/6 x 5/6 = 3125/46656 = 0.6698

5/6 = chance of not getting a 1
1/6 = chance of getting a 1

and yes its right Im the king of maths...



Isn't it 1/6 x 6/6 x 6/6 x 6/6 x 6/6 x 6/6? ie 1/1.

Because the others don't matter, as long as one is 1/6?

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