Question

There is such a thing as a 4-sided die. The idea is that the values ‘1,’ ‘2,’ ‘3,’ and ‘4’ are equally likely to happen on any given throw. Say that you throw this die twice? You calculate the sum of your two throws. Give the probability distribution for the sum of your two throw

Answer 1

The sample space on throwing a 4-sided dice twice is given by:

S = { (1,1) (1,2) (1,3) (1,4)

(2,1) (2,2) (2,3) (2,4)

(3,1) (3,2) (3,3) (3,4)

(4,1) (4,2) (4,3) (4,4) }

Let X be the sum on throwing two dice.

The sum on throwing two dice can be 2,3,4,5,6,7,8

The probability distribution of the sum of two throws :

• X = 2 with probability 1/16
• X = 3 with probability 2/16
• X = 4 with probability 3/16
• X = 5 with probability 4/16
• X = 6 with probability 3/16
• X = 7 with probability 2/16
• X = 8 with probability 1/16

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