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Intro to Probability

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Intro to Probability

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📚 Part 1: Multiple Choice

1. Toss two fair coins. Which is the complete sample space?

{HH, HT, TH, TT}

{H, T}

{HH, TT}

{HHTT}

2. Roll one fair six-sided die. What is P(rolling an even number)?

1/6

1/2

2/3

1/3

3. Which statement describes an impossible event?

Rolling a 7 on one six-sided die

Getting at least one head with two coins

The sun rising tomorrow

A fair coin landing heads

4. Check all that apply about probability values:

0 means impossible

1 means certain

Probability can be greater than 1

🔗 Part 2: Match Vocabulary

5. Draw a line to match each probability term (A–D) with the best definition (1–4).
A. Sample space
B. Event
C. Certain
D. Unlikely
1. A single outcome or a set of outcomes from an experiment
2. All possible outcomes of an experiment
3. Happens every time (probability = 1)
4. Not likely to happen but still possible

✏️ Part 3: Short Answers & Calculations

6. List the sample space for tossing two coins (write all outcomes):
7. A fair six-sided die is rolled once. What is P(rolling a 3)? Write as a fraction and as a decimal.
8. Two coins are tossed. Define the event "at least one tail." List the outcomes for this event, classify it as likely, unlikely, certain, or impossible, and give its probability as a fraction.
9. In one sentence, explain what a sample space is:

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