A pair of dice is rolled. What is the probability of getting a)a sum greater than 3? b)a sum less than 5? What is the probability of getting a sum greater than 8? What is the probability of getting a sum less than 5?

tsuyakas1

tsuyakas1

Answered question

2022-09-02

A pair of dice is rolled. What is the probability of getting
a)a sum greater than 3?
b)a sum less than 5?
What is the probability of getting a sum greater than 8?
What is the probability of getting a sum less than 5?

Answer & Explanation

ivice7u

ivice7u

Beginner2022-09-03Added 18 answers

total possible outcomes = 6*6=36
outcomes that summ greater that 8 = 3,6 4,6 5,6 6,6 4,5 5,5 6,3 6,4 6,5 = 9 so prob = 9/36=1/ 4
outcomes that summ less that 5 = 1,1 1,2 1,3 2,1 2,2 3,1= 6 so prob = 6/36 = 1/6
skystasvs

skystasvs

Beginner2022-09-04Added 4 answers

Here we have to differentiate between the outcomes of the first andthe second die.
Total no. of possible outcomes = 6*6 = 36
No. of ways to get the sum to be greater than 8 ={(3,6),(6,3),(,4,5),(5,4)
prob. of getting the sum to be greater than 8 = 4/36 =1/9;
No. of ways to get the sum to be less than 5 ={(1,1)(1,2)(2,1)(1,3)(3,1)(2,2)}
prob. of getting the sum to be less than 5 = 6/36 =1/6;

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