Question 7

The probability of rolling an even number is 5/6.

With the numbers on the die being 4, 9, 12, 16, 20, and 24, there are five even numbers (4, 12, 16, 20, 24) out of a total of six possible outcomes. This results in a probability of 5/6 for rolling an even number.

A) 5/6

This option correctly identifies the probability of rolling an even number. There are five even numbers (4, 12, 16, 20, 24) on the die, leading to a probability of 5 favorable outcomes out of 6 possible outcomes.

B) 3/4

This option is incorrect because it suggests that there are three even numbers out of four possible outcomes. However, there are actually five even numbers on the die, making this probability inaccurate.

C) 2/3

This option is also incorrect as it implies there are two even numbers out of three outcomes. Given that the die has six sides with five even numbers, this probability does not reflect the actual situation.

D) 1/3

This option is incorrect because it indicates that there is only one even number among three possible outcomes. This misrepresents the actual count of even numbers on the die, which is five out of six.

Conclusion

The probability of rolling an even number, represented by the option 5/6, accurately reflects the favorable outcomes compared to the total possible outcomes. All other options fail to represent the correct ratio of even numbers to total numbers on the die, demonstrating a misunderstanding of the basic principles of probability.