Sure! Below is a table illustrating the outcomes and probabilities of flipping a coin versus rolling a dice:
| Experiment | Outcome 1 | Outcome 2 | Outcome 3 | Outcome 4 | Outcome 5 | Outcome 6 | Outcome 7 | Outcome 8 | Outcome 9 | Outcome 10 | |------------------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|------------| | Flipping a Coin | Heads | Tails | | | | | | | | | | Rolling a Die | 1 | 2 | 3 | 4 | 5 | 6 | | | | |
Probabilities:
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Probability of Flipping a Coin:
- P(Heads) = 1/2 = 0.5
- P(Tails) = 1/2 = 0.5
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Probability of Rolling a Die:
- P(1) = 1/6 ≈ 0.1667
- P(2) = 1/6 ≈ 0.1667
- P(3) = 1/6 ≈ 0.1667
- P(4) = 1/6 ≈ 0.1667
- P(5) = 1/6 ≈ 0.1667
- P(6) = 1/6 ≈ 0.1667
Findings:
- The probability of flipping a coin results in a 50-50 chance for heads or tails, demonstrating that it is a simple binary outcome with equal likelihood.
- In contrast, rolling a dice yields six possible outcomes, each with a probability of approximately 0.1667, indicating a more complex probability structure with multiple discrete outcomes.