Will you please check my work? :)

Choose ALL (if any) applicable terms for the events described, then calculate the probability of the events.

Jason has a cube with colored sides: red, orange, yellow, green, blue and purple.

1. Rolling a red or a primary color.

Choices: overlapping event, compound event, mutually exclusive event, or permutation

My Work: I choose overlapping event and compound event. 1/6 + 3/6 - 1/6 = 3/6 = 1/2

2. Rolling orange or a primary color.

Choices: overlapping event, compound event, mutually exclusive event, or permutation

My Work: I choose compound event and mutually exclusive event 1/6 + 3/6 = 4/6 = 2/3

3. Rolling the cube twice, Jason rolls yellow and then green.

Choices: overlapping event, dependent event, independent event, or permutation

My work: I choose independent event. 1/6 x 1/6 = 1/36

Thanks so much for your help!

1 Yes (I had to think for a minute:)

2 Yes
3 Yes

If that is Algebra 1, you are at a good school :)

1. Rolling a red or a primary color:

- Choices: overlapping event, compound event, mutually exclusive event, or permutation

Your work is correct. This is both an overlapping event and a compound event. The probability is calculated correctly as 1/6 + 3/6 - 1/6 = 3/6 = 1/2.

2. Rolling orange or a primary color:

- Choices: overlapping event, compound event, mutually exclusive event, or permutation

Your work is mostly correct. However, this is a compound event and not a mutually exclusive event. The correct calculation is 1/6 + 3/6 = 4/6 = 2/3.

3. Rolling the cube twice, Jason rolls yellow and then green:

- Choices: overlapping event, dependent event, independent event, or permutation

Your work is correct. This is an independent event. The correct calculation is 1/6 x 1/6 = 1/36.

Overall, your work is accurate for each scenario. Well done!

Great job on your work! Let's go through each problem and check your answers.

1. Rolling a red or a primary color.
Choices: overlapping event, compound event, mutually exclusive event, or permutation

Your choice of overlapping event is correct because rolling a red and rolling a primary color both involve rolling the cube and selecting certain colors. However, the term "compound event" is not applicable in this case. Compound events refer to events that are composed of two or more simple events, which is not the case here. So, the correct answer is overlapping event.

To calculate the probability, you correctly identified that there are 6 equally likely outcomes (the different colors on the cube). Out of these 6, 1 is red and 3 are primary colors (red, yellow, and blue). So, the probability of rolling a red or a primary color is (1 + 3) / 6 = 4/6 = 2/3.

2. Rolling orange or a primary color.
Choices: overlapping event, compound event, mutually exclusive event, or permutation

Your choice of compound event is correct because rolling orange or a primary color involves rolling the cube and selecting certain colors. However, the term "mutually exclusive event" is not applicable in this case. Mutually exclusive events are events that cannot occur at the same time, but both orange and primary color can occur in this scenario. So, the correct answer is compound event.

To calculate the probability, you correctly identified that there are 6 equally likely outcomes (the different colors on the cube). Out of these 6, 1 is orange and 3 are primary colors. So, the probability of rolling orange or a primary color is (1 + 3) / 6 = 4/6 = 2/3 (same as your answer).

3. Rolling the cube twice, Jason rolls yellow and then green.
Choices: overlapping event, dependent event, independent event, or permutation

Your choice of independent event is correct. Rolling the cube twice and getting yellow and green are independent because the outcome of the first roll does not affect the outcome of the second roll.

To calculate the probability, you correctly identified that there are 6 equally likely outcomes (the different colors on the cube). The probability of rolling yellow on the first roll is 1/6, and the probability of rolling green on the second roll is also 1/6. Since these events are independent, you multiply the probabilities, giving you (1/6) x (1/6) = 1/36 (same as your answer).

Overall, your work is correct! Well done! If you have any more questions or need further assistance, feel free to ask.