Suppose you roll a pair of six-sided dice and add their totals.What is the probability that the sum of the numbers on your dice is an even number or a number less than 6?

Respuesta :

Answer

[tex]p(even\text{ }or\text{ }less\text{ }than\text{ }6)=\frac{7}{9}[/tex]

Explanation

The result of a pair of six-sided dice rolled and their total is shown below:

The sample size = 36

The even number in the sample size = 18

The number less than 6 in the sample size = 10

Therefore, the probability that the sum of the numbers on your dice is an even number or a number less than 6 = p(even number) + p(number less than 6)

[tex]p(even\text{ }or\text{ }less\text{ }than\text{ }6)=\frac{18}{36}+\frac{10}{36}=\frac{28}{36}=\frac{7}{9}[/tex]

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