Compound Probability

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What is Compound Probability?

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Compound Probability is the probability of two or more events happening at the same time. It can be calculated using the formula: P(A and B) = P(A) * P(B) for independent events.

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What is the formula for calculating the probability of an event?

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The formula for probability is P(E) = Number of favorable outcomes / Total number of possible outcomes.

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What is an independent event in probability?

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An independent event is an event whose outcome does not affect the outcome of another event.

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What is a dependent event in probability?

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A dependent event is an event whose outcome is affected by the outcome of another event.

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How do you find the probability of rolling an even number on a die?

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There are 3 even numbers (2, 4, 6) on a die. The probability is P(even) = 3/6 = 1/2.

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What is the probability of flipping a coin and getting heads?

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The probability of flipping a coin and getting heads is P(heads) = 1/2.

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If you roll two dice, what is the total number of possible outcomes?

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The total number of possible outcomes when rolling two dice is 6 (for the first die) x 6 (for the second die) = 36.

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What is the probability of getting a sum of 7 when rolling two dice?

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The combinations to get a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). There are 6 favorable outcomes, so P(sum of 7) = 6/36 = 1/6.

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What is a tree diagram in probability?

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A tree diagram is a visual representation of all possible outcomes of an event, showing the paths that can be taken.

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How do you calculate the probability of two independent events occurring together?

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