contestada

30 Select the correct answer from each drop-down menu. Two six-sided fair dice are rolled simultaneously. The probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is The probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is

30 Select the correct answer from each dropdown menu Two sixsided fair dice are rolled simultaneously The probability that the sum of the two numbers rolled is class=

Respuesta :

SOLUTION

When two dice of 6 faces are rolled together, the total number of outcome is

[tex]6\times6=36\text{ }[/tex]

That is 36 outcomes

Among these 36 outcomes, there are two outcomes that are greater than 3 and less than 5. These are the outcomes of getting 1, 3, also 3, 1, and 2, 2.

Making it a total of 3 possible outcomes.

So, the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is

[tex]\begin{gathered} \frac{3}{36} \\ =\frac{1}{12} \end{gathered}[/tex]

Otras preguntas