Answer :
According to the given statement the probability that the sum will be less than 3 or greater than 5 = 27/36.
What is Probability?
Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability.
According to the given information:
When two dice are rolled, the total number of possible outcomes is 36.
sum possibilities probability(favorable/ total outcomes of the event)
2 (1,1) 1/36
3 (1,2) , (2,1) 2/36
4 (2,2), (3,1) , (1,3) 3/36
5 (4,1), (1,4),(2,3),(3,2) 4/36
6 (1,5),(5,1),(2,4),(4,2),(3,3) 5/36
7 (2,5),(5,2)(1,6),(6,1),(3,4),(4,3) 6/36
8 (2,6),(6,2), (5,3),(3,5),(4,4) 5/36
9 (3,6),(6,3),(5,4),(4,5) 4/36
10 (5,5),(4,6),(6,4) 3/36
11 (6,5),(5,6) 2/36
12 (6,6) 1/36
probability that the sum will be less than 3 or greater than 5 = probability for the sum to be 2 + probability for the sum to be 6 + probability for the sum to be 7 + probability for the sum to be 8 + probability for the sum to be 9 + probability for the sum to be 10 + probability for the sum to be 11 + probability for the sum to be 12.
= (1/36) + (5/36) + (6/36) + (5/36) + (4/36) + (3/36) + (2/36) + (1/36)
= (1 + 5 + 6 + 5 + 4 + 3 + 2 + 1)/36
= 27/36
According to the given statement the probability that the sum will be less than 3 or greater than 5 = 27/36.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ9
