Auden rolled two number cubes and recorded the results.Roll #3Roll #4Roll #5Roll #6Roll #7Roll #12,1Roll #24,53,22,21,36,25,3What is the experimental probability that the sum of the next twonumbers rolled is more than 5?A.117B.27C. 3/7D.4/7E. 5/7

Respuesta :

Experimental probability

We want to find the number of rolls whose sum is more than 5.

In this case, the sum of each roll of the two numbers are:

We want to select the rolls whose sum is more than 5 (but not 5):

We have that the experimental probability is given by:

[tex]P(\text{ sum more than 5})=\frac{\text{number of rolls whose sum is more than 5}}{\text{total number of rolls}}[/tex]

There are 3 rolls whose sum is more than 5, and 7 is the total number. Then:

[tex]\begin{gathered} P(\text{ sum more than 5})=\frac{\text{number of rolls whose sum is more than 5}}{\text{total number of rolls}} \\ \downarrow \\ P(\text{ sum more than 5})=\frac{3}{7} \end{gathered}[/tex]

Answer: C. 3/7

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