Mighty Favog Posted August 4, 2022 Share Posted August 4, 2022 Lorrie and I were rolling dice to see who gets the first roll/turn at a game of Yahtzee. We each rolled a single die and it came up with the same number 4X before we could start playing. Now what's the chance of that happening?? Quote Link to comment Share on other sites More sharing options...

Edgar Posted August 4, 2022 Share Posted August 4, 2022 4 minutes ago, Mighty Favog said: Lorrie and I were rolling dice to see who gets the first roll/turn at a game of Yahtzee. We each rolled a single die and it came up with the same number 4X before we could start playing. Now what's the chance of that happening?? There is a 1/6 probability of any selected number coming up on any roll. If it's a fair die, then each roll is independent of the others. So the probability is (1/6)^4 = 1/1296. If it's a loaded die, then the probability is greater than that. 1 Quote Link to comment Share on other sites More sharing options...

PrestonTom Posted August 4, 2022 Share Posted August 4, 2022 Noticed that Edgar said "selected number". So, yes the calculation is correct (if you said before the 1st roll) the probability of a "four", but you could have said (before any roll) any of the 5 other numbers. So the probability is a higher, ( that 4 rolls would be the same number, but not necessarily a specific number) but overall it is still quite small. Quote Link to comment Share on other sites More sharing options...

Edgar Posted August 4, 2022 Share Posted August 4, 2022 4 minutes ago, PrestonTom said: Noticed that Edgar said "selected number". So, yes the calculation is correct (if you said before the 1st roll) the probability of a "four", but you could have said (before any roll) any of the 5 other numbers. So the probability is a higher, ( that 4 rolls would be the same number, but not necessarily a specific number) but overall it is still quite small. That's a really good point that I missed. If you select the target number before any rolls, then the probability is as I indicated above. But if you count as a success any number coming up four times in a row, then the probability is increased 6x because there are six numbers. That is to say, "1,1,1,1" is a success, as is "2,2,2,2", "3,3,3,3", etc. 1 Quote Link to comment Share on other sites More sharing options...

Gilbert Posted August 4, 2022 Share Posted August 4, 2022 Equation is way off. There were 2 dice being rolled, for which equal back to back results occurred 4 times. Enter theories of probability and statistics Quote Link to comment Share on other sites More sharing options...

Mighty Favog Posted August 4, 2022 Author Share Posted August 4, 2022 If this makes any difference, it went something like: first roll = 4 on both dice, second roll = 1 on both dice, third roll on = 6 on both dice, fourth roll = 2 on both dice. Quote Link to comment Share on other sites More sharing options...

Edgar Posted August 4, 2022 Share Posted August 4, 2022 (edited) 14 minutes ago, Mighty Favog said: If this makes any difference, it went something like: first roll = 4 on both dice, second roll = 1 on both dice, third roll on = 6 on both dice, fourth roll = 1 on both dice. Yes, entirely different problem. I misunderstood. EDIT: But I think that the answer comes up the same, depending upon how you state it. First roll: You roll a 4, what is the probability that your wife will roll a 4? 1/6 Second roll: You roll a 1, what is the probability that your wife will roll a 1? 1/6 Third roll: You roll a 6, what is the probability that your wife will roll a 6? 1/6 Fourth roll: You roll a 1, what is the probability that your wife will roll a 1? 1/6 Total probability: (1/6)^4 Looked at it another way ... First roll: What is the probability that you will both roll a 4? 1/6 * 1/6 Second roll: What is the probability that you will both roll a 1? 1/6 * 1/6 Third roll: What is the probability that you will both roll a 6? 1/6 * 1/6 Fourth roll: What is the probability that you will both roll a 1? 1/6 * 1/6 Total probability: (1/36)^4 And yet another way ... First roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Second roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Third roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Fourth roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Total probability: (1/6)^4 Computing probabilities always gave me fits. Edited August 4, 2022 by Edgar Elaboration Quote Link to comment Share on other sites More sharing options...

KobeWinters Posted February 1, 2023 Share Posted February 1, 2023 (edited) I know math is a challenging subject. And probability is one of the most ""painful"" module. However, if I understood it, you can do it too. Be patient with yourself. Don't get discouraged if you don't understand something immediately. Keep practicing and you will improve. The worksheets from https://www.worksheetsgo.com may be helpful. Besides, don't hesitate to seek help from a teacher, tutor, or peer. I used to relate mathematical concepts to real-life situations or other subjects I was familiar with. You can do it too and see if it works. Hope I helped! Edited February 3, 2023 by KobeWinters Quote Link to comment Share on other sites More sharing options...

Moderators Travis In Austin Posted February 1, 2023 Moderators Share Posted February 1, 2023 It is 6 to the negative 4 power 5 times the same number on each die is 6 to the negative 5 power To roll that same sequence of numbers again is 6 to the negative 8 power, starting to get into lottery odds Quote Link to comment Share on other sites More sharing options...

Moderators Travis In Austin Posted February 1, 2023 Moderators Share Posted February 1, 2023 What are the odds of getting out of jail by rolling doubles (rolling doubles 1x on 3 attempts) Quote Link to comment Share on other sites More sharing options...

artto Posted February 4, 2023 Share Posted February 4, 2023 Just curious. What did you use to "roll" the dice? Was it your hands? Or was it a cup or something like they use at a Casino? There's a reason they don't let you "roll" the dice from your hand. Some people (like myself) apparently hold or throw the dice a certain way (this can be a very natural thing - unpracticed). I am one of those people. A long time ago my best friend said I couldn't roll doubles more than 2x in a row. I promptly proved him wrong, and did it way more then 2x. Also, I seem to have a knack for doing the same thing with my heart meds. When taking them out of the container and "drop" them on the counter very frequently they land/stand on edge. Kind of pisses me off actually. Because then they tend to roll away & I have to catch them before they hit the floor so my dog doesn't get them. OTOH, IF I deliberately tried to drop them on edge it seems to never work. LOL Go figure. Quote Link to comment Share on other sites More sharing options...

Mighty Favog Posted February 4, 2023 Author Share Posted February 4, 2023 13 minutes ago, artto said: Just curious. What did you use to "roll" the dice? Was it your hands? Or was it a cup or something like they use at a Casino? There's a reason they don't let you "roll" the dice from your hand. Some people (like myself) apparently hold or throw the dice a certain way (this can be a very natural thing - unpracticed). I am one of those people. A long time ago my best friend said I couldn't roll doubles more than 2x in a row. I promptly proved him wrong, and did it way more then 2x. Also, I seem to have a knack for doing the same thing with my heart meds. When taking them out of the container and "drop" them on the counter very frequently they land/stand on edge. Kind of pisses me off actually. Because then they tend to roll away & I have to catch them before they hit the floor so my dog doesn't get them. OTOH, IF I deliberately tried to drop them on edge it seems to never work. LOL Go figure. It was our hands. Quote Link to comment Share on other sites More sharing options...

dirtmudd Posted February 5, 2023 Share Posted February 5, 2023 https://www.thoughtco.com/probability-of-rolling-a-yahtzee-3126593 1 Quote Link to comment Share on other sites More sharing options...

stevenaughtonnsx11 Posted August 24 Share Posted August 24 (edited) On 8/4/2022 at 7:45 PM, Edgar said: Yes, entirely different problem. I misunderstood. EDIT: But I think that the answer comes up the same, depending upon how you state it. First roll: You roll a 4, what is the probability that your wife will roll a 4? 1/6 Second roll: You roll a 1, what is the probability that your wife will roll a 1? 1/6 Third roll: You roll a 6, what is the probability that your wife will roll a 6? 1/6 Fourth roll: You roll a 1, what is the probability that your wife will roll a 1? 1/6 Total probability: (1/6)^4 Looked at it another way ... First roll: What is the probability that you will both roll a 4? 1/6 * 1/6 Second roll: What is the probability that you will both roll a 1? 1/6 * 1/6 Third roll: What is the probability that you will both roll a 6? 1/6 * 1/6 Fourth roll: What is the probability that you will both roll a 1? 1/6 * 1/6 Total probability: (1/36)^4 And yet another way ... First roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Second roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Third roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Fourth roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Total probability: (1/6)^4 In theory, the probability of both dice showing the same number is 1 in 36. The probability of you and Lorrie getting the same number on the dice 4 times in a row is 1 in 1296, which is about 0.0007716, or 0.07716%. Don't ask me how I calculated it. I just like math, but I don't like writing, so I sometimes use a writing service, I found https://ca.edubirdie.com/ for this. If you need more help, you can contact me. I love solving such problems, next time I can even explain. Computing probabilities always gave me fits. Wow, how did you calculate everything and aren't you too lazy? Edited August 27 by stevenaughtonnsx11 Quote Link to comment Share on other sites More sharing options...

EverettPringle Posted October 2 Share Posted October 2 On 8/4/2022 at 7:45 PM, Edgar said: Yes, entirely different problem. I misunderstood. EDIT: But I think that the answer comes up the same, depending upon how you state it. First roll: You roll a 4, what is the probability that your wife will roll a 4? 1/6 Second roll: You roll a 1, what is the probability that your wife will roll a 1? 1/6 Third roll: You roll a 6, what is the probability that your wife will roll a 6? 1/6 Fourth roll: You roll a 1, what is the probability that your wife will roll a 1? 1/6 Total probability: (1/6)^4 Looked at it another way ... First roll: What is the probability that you will both roll a 4? 1/6 * 1/6 Second roll: What is the probability that you will both roll a 1? 1/6 * 1/6 Third roll: What is the probability that you will both roll a 6? 1/6 * 1/6 Fourth roll: What is the probability that you will both roll a 1? 1/6 * 1/6 Total probability: (1/36)^4 And yet another way ... First roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Second roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Third roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Fourth roll: What is the probability that you will both roll the same number? 6 * 1/6 * 1/6 = 1/6 Total probability: (1/6)^4 Computing probabilities always gave me fits. cool Quote Link to comment Share on other sites More sharing options...

pepper3589 Posted October 13 Share Posted October 13 That’s such a crazy coincidence! Rolling the same number four times in a row on a single die is super unlikely. Each roll has a 1 in 6 chance, so by the time you multiply that out, it’s like 1 in 1,296! I’ve had some wild moments with dice games too, like when my friends and I couldn’t get past the first turn for ages. Quote Link to comment Share on other sites More sharing options...

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