- #1
kelvin macks
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for second group, why the set of numbers of ( 132, 152, 153, 154, 213, 214 , 215, 216, 231, ...) is not included? since they are all three different numbers. https://www.flickr.com/photos/123101228@N03/14323629833/
kelvin macks said:for second group, why the set of numbers of ( 132, 152, 153, 154, 213, 214 , 215, 216, 231, ...) is not included? since they are all three different numbers. https://www.flickr.com/photos/123101228@N03/14323629833/
Simon Bridge said:All those combinations are shown. Order is not important.
kelvin macks said:why order is not important? i can't understand the question doesn't state whether it's permutation or combination. I'm confused.
Adithyan said:The order is not important because the question asks for the different OUTCOMES of the dies. So, getting 123 and 321 will have the same outcome for the event i.e, the dies show different numbers. So the question clearly states combination.
why order is not important? i can't understand the question doesn't state whether it's permutation or combination. I'm confused.
This is true - however, they seldom say that dice are identical when the order counts, without also saying something about the order being important. This is especially the case in maths exercises. Context is everything - learn to use the metadata.factchecker said:In that case it is better to explicitly state that order does not matter. People often say things are "identical" even when order counts.
The probability of rolling a specific number on a single six-sided die is 1/6 or approximately 16.67%. This is because there are six possible outcomes (1, 2, 3, 4, 5, or 6) and only one of those outcomes will result in the desired number.
The probability of rolling a certain combination of numbers when rolling multiple dice depends on the number of dice and the desired combination. For example, the probability of rolling two sixes when rolling two six-sided dice is 1/36 or approximately 2.78%. This is because there are 36 possible outcomes (6 possible outcomes for each dice) and only one of those outcomes will result in two sixes.
Yes, it is possible to roll the same number multiple times in a row when rolling multiple dice. However, the probability of this happening decreases with each roll. For example, the probability of rolling two sixes in a row when rolling two six-sided dice is 1/36, but the probability of rolling three sixes in a row is 1/216.
The probability changes when using dice with more or less sides because the number of possible outcomes increases or decreases. For example, when rolling a ten-sided die, the probability of rolling a specific number is 1/10 or approximately 10%, while the probability of rolling a specific number on a twenty-sided die is 1/20 or approximately 5%. As the number of sides on the die increases, the probability of rolling a specific number decreases.
The expected outcome when rolling two dice is a sum of 7. This is because there are 36 possible outcomes when rolling two six-sided dice and the sum of the numbers on each dice ranges from 2 to 12. The most common sum is 7, with a probability of 1/6 or approximately 16.67%. However, the actual outcome of each roll is random and may not always result in the expected outcome.