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    Probability of rolling a dice.

    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???

    302 Comments

    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

    nope it would be 1/6 x 1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/ 46656

    u ADDED 1/6 6 times making it 1/1

    Original Poster

    t0mm;1687665

    no, its 1/6 for every number, if it was 1/1 you'd get 1 on every roll.1/6 … 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?

    faiza1;1687670

    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:

    1/6

    Original Poster

    faiza1;1687670

    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???

    Benjimoron;1687691

    Are you sure?So if I ran this experiment 46656 times then I would only … 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:

    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

    Original Poster

    t0mm;1687705

    http://www.knowyourluck.com/dice1.htmlThere you go,told you I was right … http://www.knowyourluck.com/dice1.htmlThere you go,told you I was right :thumbsup: *cheeky smile*



    That part's easy!!! That's for rolling the dice ONCE!

    the probability of rolling a 1 six times in a row would be 1/46656

    nononono that's for rolling it 6 times.

    They were unsuccessfull 5 times.
    Successful once.

    Original Poster

    Is the answer 6/6 but bare in mind it's an average not a certainty?

    its simple maths guys!!!

    faiza1;1687718

    the probability of rolling a 1 six times in a row would be 1/46656



    he doesn't mean in a row.

    Benjimoron;1687720

    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.

    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.

    Original Poster

    t0mm;1687719

    nononono that's for rolling it 6 times.They were unsuccessfull 5 … 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?

    Benjimoron;1687713

    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.

    t0mm;1687725

    he doesn't mean in a row.



    o ok... so whats the question??!?

    Original Poster

    t0mm;1687727

    No, that means in 6 rolls you'd get a 1 six times.



    I'm talking about as a whole.

    If he rolls a dice six times what's the chance of getting a 1 once
    It's 1/6.

    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

    Benjimoron;1687749

    I'm talking about as a whole.



    See, this is where you just threw me out the plane..

    ohhhhh i get it!

    Original Poster

    nightswimmer;1687745

    It's the same. Throw 1 dice = 1/6 chance of getting it = 1/6Throw 2 dice … It's the same. Throw 1 dice = 1/6 chance of getting it = 1/6Throw 2 dice = 2/12 chance of getting it = 1/6Throw 3 dice = 3/18 chance of getting it = 1/6etc.



    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!

    Benjimoron;1687760

    So if I threw a dice one thousand times then the probability of getting … 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.

    BillButter;1687752

    If you roll a dice 6 times but only get a 1 once then this is the … 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 = 0.66985/6 = chance of not getting a 11/6 = chance of getting a 1



    :thumbsup:

    nightswimmer;1687763

    Nope, it's still 1/6. You are assuming that what you have thrown before … 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:

    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.

    Original Poster

    nightswimmer;1687763

    Nope, it's still 1/6. You are assuming that what you have thrown before … 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?

    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!

    TheDoc;1687728

    In each throw you have a 1/6 chance of rolling a 6.If you roll it 6 times … 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

    nightswimmer;1687745

    It's the same. Throw 1 dice = 1/6 chance of getting it = 1/6Throw 2 dice … It's the same. Throw 1 dice = 1/6 chance of getting it = 1/6Throw 2 dice = 2/12 chance of getting it = 1/6Throw 3 dice = 3/18 chance of getting it = 1/6etc.


    Wrong

    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...

    Original Poster

    warmapplepie;1687797

    Wrong



    Thanks, I know that! What's the right answer????

    BillButter;1687798

    Just incase nobody saw the first time:If you roll a dice 6 times but only … 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 = 0.66985/6 = chance of not getting a 11/6 = chance of getting a 1and yes its right Im the king of maths...


    So you've got a less then one chance of getting a one? o.O

    BillButter;1687752

    If you roll a dice 6 times but only get a 1 once then this is the … 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 = 0.66985/6 = chance of not getting a 11/6 = 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

    Original Poster

    BillButter;1687798

    Just incase nobody saw the first time:If you roll a dice 6 times but only … 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 = 0.66985/6 = chance of not getting a 11/6 = chance of getting a 1and 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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