An experiment consists of rolling a number cube. Use the results in the table to find the experimental probability of rolling an even number.
Outcome:
1,2,3,4,5,6
Frequency: 3,6,2,7,4,5
To find the experimental probability of rolling an even number, you need to determine the number of successful outcomes (rolling an even number) and divide it by the total number of outcomes.
In this case, the successful outcomes are rolling the numbers 2, 4, and 6, which have frequencies of 6, 7, and 5, respectively.
To calculate the total number of outcomes, you sum up the frequencies of all the outcomes:
Total number of outcomes = Frequency of 1 + Frequency of 2 + Frequency of 3 + Frequency of 4 + Frequency of 5 + Frequency of 6
= 3 + 6 + 2 + 7 + 4 + 5
= 27
So, the experimental probability of rolling an even number is the number of successful outcomes divided by the total number of outcomes:
Experimental probability = (Frequency of 2 + Frequency of 4 + Frequency of 6) / Total number of outcomes
= (6 + 7 + 5) / 27
= 18 / 27
= 2 / 3
≈ 0.67
Therefore, the experimental probability of rolling an even number is approximately 0.67 or 67%.