Rolling a standard pair of dice What is the probability you

Rolling a standard pair of dice.

What is the probability you roll a 10    Simpliest fraction form.

What is the probability you roll less than a 6     Simpiest fraction form.

What is the probability you roll a 6 or 8     Simpliest fraction form.

What is the probabiliyt you roll a 7     Simpliest fraction form.

What is the probability you roll a 5 or 9    Simpliest fraction form.

What is the probability you roll a 4 or 10    Simpliest fraction form.

Solution

Let the random variable X represent the sum of rolls.

Dice 1

1

2

3

4

5

6

1

2

3

4

5

6

7

2

3

4

5

6

7

8

Dice 2

3

4

5

6

7

8

9

4

5

6

7

8

9

10

5

6

7

8

9

10

11

6

7

8

9

10

11

12

Note :- to find the probability of rolling any number check the number of times that number appear in the above table and divide it by 36.

What is the probability of rolling a 10?.

P(X=10)=3/36 = 1/12

What is the probability of rolling less than 6?

P (X<6)= 10/36 = 5/18

What is the probability that you roll a 6 or 8?

P(X=6 or 8) = 10/36 = 5/18

What is the probability that you roll a 7?

P(X=7) =6/36 =1/6

What is the probability that you roll a 5 or 9?

P(X=5 or 9) = 8/36 = 2/9

What is the probability that you roll a 4 or 10?

P(X=4 or 10) = 6/36 = 1/6

				Dice 1
		1	2	3	4	5	6
	1	2	3	4	5	6	7
	2	3	4	5	6	7	8
Dice 2	3	4	5	6	7	8	9
	4	5	6	7	8	9	10
	5	6	7	8	9	10	11
	6	7	8	9	10	11	12