Unit 8 - Probability

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What is Empirical Probability?

Back

Empirical Probability is the probability based on observed data or experiments. It is calculated by taking the number of successful outcomes divided by the total number of trials.

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What is Subjective Probability?

Back

Subjective Probability is the probability based on personal judgment, intuition, or experience rather than on exact calculations or experiments.

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What is Theoretical Probability?

Back

Theoretical Probability is the probability calculated based on the possible outcomes in a perfect world, without any experimental data. It is determined by the formula: P(E) = Number of favorable outcomes / Total number of outcomes.

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What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets. It uses overlapping circles to show how the sets intersect and relate to each other.

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What does the intersection of two sets represent?

Back

The intersection of two sets represents the elements that are common to both sets.

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What is Conditional Probability?

Back

Conditional Probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(B | A), meaning the probability of B given A.

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How do you calculate the probability of drawing a specific card from a deck?

Back

To calculate the probability of drawing a specific card, use the formula: P(E) = Number of favorable outcomes / Total number of outcomes. For example, the probability of drawing a red face card is 6 (favorable outcomes) / 52 (total outcomes) = 11.5%.

Front

What is the complement of a set?

Back

The complement of a set A, denoted as A', includes all the elements in the universal set that are not in A.

Front

How do you find the probability of the union of two events?

Back

The probability of the union of two events A and B is calculated using the formula: P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

What is the formula for calculating the probability of independent events?

Back

For independent events A and B, the probability of both events occurring is calculated as: P(A and B) = P(A) * P(B).