Rolling a six with a die or not rolling a six.
No. It is multinomial because you have more than two possible outcomes each time.
There is a one out of four chance of having both dice even numbers.
What is the probability of rolling an even with one roll of a numbers cube.
The distribution depends on what the variable is. If the key outcome is the number on the top of the die, the distribution in multinomial (6-valued), not binomial. If the key outcome is the number of primes, composite or neither, the distribution is trinomial. If the key outcome is the number of sixes, the distribution is binomial with unequal probabilities of success and failure. If the key outcome is odd or even the distribution is binomial with equal probabilities for the two outcomes. Thus, depending on the outcome of interest the distribution may or may not be binomial and, even when it is binomial, it can have different parameters and therefore different shapes.
No. If you keep track of all the numbers that are rolled then there are six possible outcomes, a binomial has only two. It is a multinomial distribution.
Rolling a six with a die or not rolling a six.
Yes.
The probability of rolling two even numbers on two standard dice is 0.52, or 0.25.
No. It is multinomial because you have more than two possible outcomes each time.
There is a one out of four chance of having both dice even numbers.
What is the probability of rolling an even with one roll of a numbers cube.
The distribution depends on what the variable is. If the key outcome is the number on the top of the die, the distribution in multinomial (6-valued), not binomial. If the key outcome is the number of primes, composite or neither, the distribution is trinomial. If the key outcome is the number of sixes, the distribution is binomial with unequal probabilities of success and failure. If the key outcome is odd or even the distribution is binomial with equal probabilities for the two outcomes. Thus, depending on the outcome of interest the distribution may or may not be binomial and, even when it is binomial, it can have different parameters and therefore different shapes.
6
Total numbers on a cube = 6Even numbers on a cube = 3Probability of rolling an even number on one fair cube = 3/6 = 50% .
If the numbers on the cube are one through six, you have a one out of six chance of rolling any of them. If they are double-digit numbers, your chance is zero.
The probability of rolling two prime numbers on a standard pair of dice is 1 in 4, or 0.25. Take the probability of rolling a prime on one die, 3 in 6, or 1 in 2, or 0.5, and square it.