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Back to Tutor Intake Assessment: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation

7.SP.C.8 Tutor Intake -- Compound Events: Sample Spaces and Simulation

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without a calculator. If you're unsure, give your best try — the goal is
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Grade 7·8 problems·~12 min·Common Core Math - Grade 7·standard·7-sp-c-8
Work through problems with immediate feedback
A

Concepts

1

Which of these is a compound event?

2

A student is building the sample space for flipping a coin and
rolling a standard six-sided die together. The student lists only
8 outcomes: (H,1), (H,2), (H,3), (H,4), (T,1), (T,2), (T,3),
(T,4). What is wrong with this sample space?

B

Procedures

1

A tree diagram for flipping a coin 3 times has 2 branches at the
first level, 4 nodes after the second level, and 8 endpoints
(leaves) after the third level. How many total outcomes are in
the sample space?

2

Three coins are flipped. The sample space is: HHH, HHT, HTH,
HTT, THH, THT, TTH, TTT. How many of these 8 outcomes have AT
LEAST 2 heads?

3

Two standard six-sided dice are rolled. Using the 36-outcome
sample space, what is the probability of rolling "doubles"
(both dice show the same number)? Enter your answer as a
fraction in the form a/b.

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