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.

S.4.c

Create a probability distribution for the values of a discrete random variable.

Example Problems

Justin, Cam, and Ben are playing a board game where exactly one player will win.
The table shows an incomplete probability model for who will win the board game.

Players	Probability
Justin	20%
Cam	50%
Ben	?

What is the probability that Ben will win the board game?

After Cynthia microwaves her bowl of morning porridge, it is either too cold, just right, or too hot.
The table shows an incomplete probability model for the temperature of her bowl of porridge.

Porridge Temperature	Probability
Too cold	35%
Just right	?
Too hot	50%

What is the probability that Cynthia's morning porridge will be just right?

Anna, Irina, Axel, and Vlad are going on a road trip.
The following table shows an incomplete probability model for who will be driving during any given kilometer:

Person	Probability
Anna	$\frac{1}{8}$
Irina	$\frac{3}{8}$
Axel	?
Vlad	$\frac{1}{8}$

What is the probability that Axel will be driving during any given kilometer?

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