When a six sided die is rolled 3 times there are possible outcomes?
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When a six sided die is rolled 3 times there are possible outcomes?
Since the die is a 6-sided die (described as being “fair”, meaning all possible outcomes from 1 to 6 are equally possible/probable), we know that overall there are 63=6⋅6⋅6=216 possible outcomes.
What is the probability of rolling a die 3 times?
Probability of rolling more than a certain number (e.g. roll more than a 5).
| Roll more than a… | Probability |
|---|---|
| 3 | 3/6 (50\%) |
| 4 | 4/6 (66.667\%) |
| 5 | 1/6 (66.67\%) |
| 6 | 0/6 (0\%) |
What is the probability of rolling a 3 on a 6 sided die?
In this situation, rolling a six-sided has 6 outcomes, each of which is equally likely, so we can define the probability of an event (such as rolling a 3 or rolling an odd number) as the ratio of favorable outcomes to possible outcomes: the probability of rolling a 3 is 16 and the probability of rolling an odd number …
What is the probability that the sum of the dice is at least 10?
When you consider the sum being 10, there are only 3 combinations. So, the probability of getting a 10 would be 3/36 = 1/12.
What is the probability of rolling three six sided dice and getting a different number on each die?
On rolling die 2 there are 5 chances in 6 that the number will be different, so 5/6. On rolling die 3, the chance of getting a number that is different from the other two should be 4/6.
What is the probability of rolling a dice and getting an even number 3 times in a row?
The probability of rolling a 3 is 16 . The probability of rolling an even number is 36 . This is when you first roll a 3 and then an even number. The probability of first rolling an even number and then a 3 is exactly the same.
What is the probability of rolling a six sided number cube and landing on 3?
A number cube is a 6 sided die, so the probability of rolling a 3 is 1/6.
What is the probability of rolling a 6 on a die?
Roll the die six times, and the probability of not rolling a 6 is 5 6 ⋅ 5 6 ⋅ 5 6 ⋅ 5 6 ⋅ 5 6 ⋅ 5 6, also written (5 6)6, which = 33.5\%. Therefore, the probability of rolling a 6 at least once in 6 rolls = 100\% −33.5\% = 66.5\%
What is the probability of getting 7 on a 10-sided die?
There is a simple relationship – p = 1/s, so the probability of getting 7 on a 10 sided die is twice that of on a 20 sided die. The probability of rolling the same value on each die – while the chance of getting a particular value on a single die is p, we only need to multiply this probability by itself as many times as the number of dice.
What is the probability of Rolling 3 dice?
Just as one die has six outcomes and two dice have 6 2 = 36 outcomes, the probability experiment of rolling three dice has 6 3 = 216 outcomes. This idea generalizes further for more dice. If we roll n dice then there are 6 n outcomes.
What is the probability of rolling a sum out of set?
The probability of rolling a sum out of the set, not lower than X – like the previous problem, we have to find all results which match the initial condition, and divide them by the number of all possibilities. Taking into account a set of three 10 sided dice, we want to obtain a sum at least equal to 27.