Compound Events, Sample Spaces, and Tree Diagrams

Compound Events, Sample Spaces, and Tree Diagrams practice with teacher guidance, common slips, and next-step routes.

Core · Compound Events, Sample Spaces, and Tree Diagrams · Independent practice · Multi Field Entry

A covered randomizer has 6 equal slots: 2 neighboring stars and 4 blanks. The hidden arrangement stays fixed. A reset chooses any slot equally, and the first reset shows a blank. For the next reveal, which gives a greater chance of a star: reset again, or advance 1 slot clockwise?

??????6 equal slots

First resetblank2 neighboring stars are hidden among the slots.

Your answers

Action ChoiceReset ProbabilityAdvance Probability

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Watch: Watch whether the learner enters both exact probabilities before choosing an action. A correct choice is decisive only when Reset is paired with 1/3 and Advance with 1/4.

Misread: A learner who uses 2/5 for Reset has removed the observed blank; a learner who uses 1/2 for Advance has counted two favorable blank positions instead of one.

Curriculum: This task compares two conditional chance models: a fresh uniform reset and a one-step transition after a published blank. It scores exact finite-sample-space probabilities and a justified comparison.