Answer: 7.0%
Step-by-step explanation:
The probability of rolling a sum of 14 is 7.0% because 15/216 = 7.0%
The probability of rolling a sum of 14 is [tex]\frac{1}{72}[/tex] or 0.014.
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.
Formula of probability
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex]
According to the question
rolling a sum of 14
As the maximum sum of two dice is 6+6 = 12
Therefore ,
we will take 3 dices
Now ,
As each dice have 6 different digits and can be repeated
i.e
Total outcomes = 6 * 6 * 6 = 216
Favorable outcome :
(6,6,2) or (2,6,6) or (6,2,6) = 3 ways
Now,
By using the formula of probability
Probability(Event) = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex]
Substituting the value in the formula
Probability(Event) = [tex]\frac{3}{216}[/tex]
Probability(Event) = [tex]\frac{1}{72}[/tex] or 0.014
Hence, the probability of rolling a sum of 14 is [tex]\frac{1}{72}[/tex] or 0.014
To know more about probability here:
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