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If you roll a pair of six sided number cubes what is the probability of rolling two numbers whose sum is 6?
If you roll a pair of six sided number cubes the probability of rolling two numbers whose sum is 6 is 5/36 or 0.1389. There are 5 ways to get 6: 1,5 & 5,1 & 4,2 & 2,4 & 3,3. There are 36 outcomes for a roll of 2 dice.
When two fair sided dice are rolled what is the probability of rolling doubles or the sum of the two dice equal 6?
The sample space has 36 elements (the total number of outcomes by rolling the two dice). There are 6 double outcomes: (1,1), (2,2), (3,3), (4,4), (5,5) and (6,6). There are 5 outcomes whose sum is 6: (1,5), (5,1), (2,4), (4, 2), and (3,3). The probability of rolling doubles OR the sum of 6 is 6/36 + 5/36 = 11/36.
What event is it whose probability depends on one or more event?
A conditional event.
What is joint probability function?
The joint probability function for two variables is a probability function whose domain is a subset of two dimensional space. The joint probability function for discrete random variables X and Y is given aspr(x, y) = pr(X = x and Y = y). If X and Y are independent random variables then this will equal pr(X =x)*pr(Y = y).For continuous variables, the joint funtion is defined analogously:f(x, y) = pr(X < x and Y < y).
What is the probability density of the wave function?
See related link, In quantum mechanics, a probability amplitude is a complex number whose modulus squared represents a probability or probability density. For example, the values taken by a normalised wave function ψ are amplitudes, since |ψ(x)|2 gives the probability density at position x. Probability amplitudes may also correspond to probabilities of discrete outcomes.
