Is Goblins free for teachers?

Yes. Goblins offers a generous free tier that includes 1 live feedback assignment per week, insights on student mastery and replays, and the ability to upload your own content. The Max plan adds unlimited assignments, superadaptive mode, grade exports, standards growth reports, and SSO/LMS integration, with per-student pricing for schools and districts.

How does Goblins work?

Three simple steps: (1) Share an assignment from thousands of standards-aligned topics using a share code. (2) Students speak and draw their thinking naturally, and Goblins responds with Socratic questioning that sounds just like their teacher. (3) Teachers get real-time formative insights showing what students struggle with and suggestions to inform instruction.

Does Goblins prevent cheating?

Yes. Goblins uses a purpose-trained AI model that evaluates cheating signals in real time. It can detect when students are copying answers, using external tools inappropriately, or not genuinely working through problems. Copy-pasting answers is also blocked.

Can I use my own voice with Goblins?

Yes. Teachers can record their voice and take a selfie to create a custom 3D avatar in about 30 seconds. Students then hear help in their own teacher's voice and see a familiar face, making the experience more personal and effective.

What math levels does Goblins cover?

Goblins covers math from Grade 5 through AP Calculus, including thousands of standards-aligned topics. Teachers can also upload their own content for custom assignments at any level.

Is Goblins FERPA compliant?

Yes. Goblins is FERPA and state compliant. Student data privacy and security are a top priority.

Does Goblins support English Language Learners?

Yes. Goblins supports 30+ languages so teachers don't have to translate every worksheet. It is especially helpful for ELL students who need accessible math instruction in their native language.

7A.32.a

Represent sample spaces for compound events using methods such as organized lists, tables, and tree diagrams, and determine the probability of an event by finding the fraction of outcomes in the sample space for which the compound event occurred.

Example Problems

Two fair six-sided dice are rolled once. Let A be the event that the first die shows a

6

and B be the event that the sum of the two dice is at least

10

.

What is

P(A \text{ or } B)

, the probability that the first die is a

6

or the sum is at least

10

?
Write your answer as a fraction.

Two fair six-sided dice are rolled once. Let A be the event that the first die shows an even number and B be the event that the sum of the two dice is odd.

What is

P(A \text{ and } B)

, the probability that the first die is even and the sum is odd?
Write your answer as a fraction.

A spinner has 10 equal sectors labeled 1 through 10. It is spun once. Let A be the event that the result is an even number and B be the event that the result is a multiple of 3.

What is

P(A \text{ or } B)

, the probability that the spinner lands on an even number or a multiple of 3?
Write your answer as a fraction.

Khan Academy Resources

Probabilities of compound events Die rolling probability Probability of a compound event

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