Question

Asked Nov 6, 2019

Step 1

**Note:**

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Step 2

**Random experiment of rolling a pair of dice:**

*Sample space:*

The set of all possible outcomes of a probability experiment is called sample space of the experiment.

Here, two fair dice are rolled.

The total number of outcomes in the sample space be *n*(*S*) = 6^{2} = 36. That is, there will be 36 equally likely outcomes.

Outcomes will be occurred in ordered pairs. First number in each ordered pair represents the number on the first die and second number in each ordered pair represents the number on the second die. Each of the two numbers can take values 1 to 6.

The sum of the numbers on the dice will be 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11.

The sample space for the experiment is given below:

Step 3

**A)Calculating P(F):**

Event *E* denotes that the number falling uppermost in the first die is 4 and *F *denote that the sum of...

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