The probability that the sum is greater than 12 is [tex]\frac{2}{3}[/tex]. The probability the product is 72 is [tex]\frac{1}{6}[/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) = Favorable Outcomes/Total Outcomes
The outcomes that the sum is greater than 12
6 and 12, 6 and 15, 12 and 15, 0 and 15
So the probability that the sum is greater than 12 is
= [tex]\frac{4}{C^{2} _{4} }[/tex]
= [tex]\frac{4}{6}[/tex]
= [tex]\frac{2}{3}[/tex]
The outcomes that the product is 72: 6 and 12
So the probability is
= [tex]\frac{1}{C^{2} _{4} }[/tex]
= [tex]\frac{1}{6}[/tex]
Hence, the probability that the sum is greater than 12 is [tex]\frac{2}{3}[/tex]. The probability the product is 72 is [tex]\frac{1}{6}[/tex].
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