Respuesta :
13/18
here's a picture of how I normally do it if you want but I dont know if you'll understand what I'm writing because it's really messy haha
here's a picture of how I normally do it if you want but I dont know if you'll understand what I'm writing because it's really messy haha
The experimental probability that the sum of the next two numbers rolled is greater than 5 is [tex]\frac{13}{18}[/tex] .
What is Probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.
The formula to calculate the probability of an event is as follows.
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes} = \frac{x}{n}[/tex]
According to the question
Auden rolled two number cubes and recorded the results.
The result will be :
(1,1) (1,2) .......................................... (1,6) = 6 outcomes
(2,1) (2,2) ........................................ (2,6) = 6 outcomes
(3,1) (3,2) ......................................... (3,6) = 6 outcomes
(4,1) (4,2) .......................................... (4,6) = 6 outcomes
(5,1) (5,2) .......................................... (5,6) = 6 outcomes
(6,1) (6,2) .......................................... (6,6) = 6 outcomes
Total outcomes = 36
The sum of the next two numbers rolled is greater than 5
(1,5) (1,6) (2,4) (2,5) (2,6) (3,3) (3,4) (3,5) (3,6) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) = 26 outcomes
Now ,
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex]
= [tex]\frac{26}{36}[/tex]
= [tex]\frac{13}{18}[/tex]
Hence, the experimental probability that the sum of the next two numbers rolled is greater than 5 is [tex]\frac{13}{18}[/tex] .
To know more about probability here:
https://brainly.com/question/11234923
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