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Suppose that two balanced dice are rolled. Let X denote the sum of the two numbers. Userandom-variable notation to represent the event that the sum of the two numbers is less than 4.28)A){X Y < 4}B){X K 4}

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Title:

The event can be represented by X + Y < 4.

Explanation:

Two balanced dice are to be rolled here.

On each dice the outcome varies from 1 to 6.

If we denote, one of the die's outcome by X and for the other one we use Y, then the situation of getting the sum less than 4 can be represented by X + Y <4.

Hence, the sum will be either 2 or 3.

  1. X = 1 and Y = 1.
  2. X= 1 and Y = 2.
  3. X = 2 and Y = 3.

The total of 36 combinations can be found.

The probability of the sum of the outcomes less than 4 is
(3)/(36) = (1)/(12).

User Douglas Mayle
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