What are the chances...?

Question

If i roll a die 6 times what r the chances i git one six? i knoe if u roll a doe once the chances of getting 6 is 1/6. And if u roll it 3 times the chances of gettin 6 are 3/6=1/2, rite? But if u roll it 6 times it ain't guaranteed u git a six, so what is the chances u get a 6 if u roll it 6 times?

Answer 1

Probability of NOT getting a 6 after 1 roll is 5/6
Probability of NOT getting a 6 after 6 rolls is (5/6)^6

Probability of getting AT LEAST one 6 after 6 rolls is 1-(5/6)^6 or
31031/46656 ≈ 0.665

The probability of getting at least one 6 after 3 rolls is 1-(5/6)³ = 91/216 and not 2/6

Answer 2

You mean that if you roll a die 6 times and you get a six for each? If thats the case then uh actually I'm pretty sure that you multiply the chances, not add CharlieBrown. If thats the case if you roll 3 times, you get 1/6*1/6*1/6= 1/216 and if its 6 rolls then 1/6*1/6*1/6*1/6*1/6*1/6=1/46656. This is the "Counting Principle" I believe from Math A.

Answer 3

This is a trick question. Each of these six rolls is a separate event. It is like the restart button on a video game. Once you've rolled the die six times, your probability of rolling a six on the next six rolls is the same: 1/6. Sorry to inform you, but this is the truth. You still have one sixth of a chance of rolling a six each time you try this experiment: not very good odds. So don't bet money on this!!!

Answer 4

Separate rolls of a die are what we call discrete events -- they have no connection to one another. Each time you roll the die, you have a 1/6 chance of rolling a six, even if the last 1,000 rolls came up six! But, statistically speaking, if you roll the die six million times, you should come very close to rolling one million sixes.

Answer 5

Sorry, but ur reasoning is wrong....

If you are rolling 1 dice, the chances of getting a 6 is 1/6
If you are rolling 2 dice, the chances of getting a 6 is 2/6
If you are rolling 3 dice, the chances of getting a 6 is 3/6

the concept does not apply to u rolling 1 dice for x number of times....

The probability of u getting a 6 by rolling 1 dice 6 times is....

however, keep in mind that the probability of rolling 1 dice 6 times is the same as rolling 6 dices at the same time thus.....

since 1 dice - probability of getting a 6 = 1/6

multiply this 6 times......

1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 = 1 / (6)^6

Answer: 1 / 46656

this is because, rolling one dice does not effect the results of the others....

Answer 6

Actually...when you roll a dice more than once, the probablility changes...if you roll the dice once, the chance of a six is 1/6. Actually this is a little complicated...if you roll the dice twice, the chance of getting one six is 2/12 or 1/6, the chance of you getting two sixes is (1/6) x (1/6) = (1/36).

If you roll it three times, the chance of one of them being a six is 3/18 or 1/6 and the chance of you getting three sixes is (1/6) x (1/6) x (1/6) = (1/216)

If you roll it six time, the chance of getting six sixes is (1/6) x (1/6) x (1/6) x (1/6) x (1/6) x (1/6) = (1/46656)

Answer 7

Not quite, Charlie. Yes, your chance of rolling a die and getting 6 is 1/6th. However, most people consider die rolling outcomes to be independent events, or the outcome for the next roll has the same probability parameters as for the current roll. To find probabilities like you ask, the BINOMAL DISTRIBUTION is used. BTW: I hope your math skills are better than your writing skills.

Answer 8

each roll is completely independant of the other rolls, all the other people who answered this way are correct.

Answer 9

The chance to get a six after one roll:
1/6

The chance to get a six after three rolls:
3/6

The chance to get a six after six rolls:
6/6

*Theoretically* if there are six numbers and six rolls, you should roll one of each number.