Answered

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The table shows the results of an experiment in which a 6 sided number cube is rolled several times. What is the experimental probability of rolling an even number? Table: OUTCOME: 1,2,3,4,5,6 FREQUENCY: 4,7,4,8,2,5 Answers: 1/10, 4/15, 1/2, 2/3

Sagot :

semsee45

Answer:

[tex]\textsf{D)}\quad \dfrac{2}{3}[/tex]

Step-by-step explanation:

Experimental probability is the likelihood of an event occurring based based on the actual results of an experiment (gathered by experimenting repeatedly).

It is calculated by dividing the recorded number of times an event happens by the total number of trials in the actual experiment.

[tex]\boxed{\textsf{Experimental probability}=\dfrac{\textsf{Frequency of event occurring}}{\textsf{Total number of trials of the experiment}}}[/tex]

To find the experimental probability of rolling an even number, we need to calculate the total frequency of rolling even numbers (2, 4, or 6) and divide it by the total number of trials:

[tex]\text{P(even)}=\dfrac{7+8+5}{4+7+4+8+2+5} \\\\\\ \text{P(even)}=\dfrac{20}{30} \\\\\\ \text{P(even)}=\dfrac{2}{3}[/tex]

Therefore, the experimental probability of rolling an even number is:

[tex]\LARGE\boxed{\boxed{\text{P(even)}=\dfrac{2}{3}}}[/tex]

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