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 multiplication rule for independent events or the addition rule for mutually exclusive events.

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CCSS.HSS.CP.B.7

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What is an independent event?

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An independent event is an event whose outcome does not affect the outcome of another event. For example, flipping a coin and rolling a die are independent events.

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CCSS.HSS.CP.A.5

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

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To calculate the probability of two independent events A and B occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

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CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

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

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The probability of an event is calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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CCSS.7.SP.C.7A

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What is experimental probability?

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Experimental probability is the probability determined by conducting an experiment and observing the outcomes. It is calculated as the number of times an event occurs divided by the total number of trials.

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What is a tree diagram?

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A tree diagram is a visual representation used to show all possible outcomes of an event. It branches out to illustrate the different paths that can be taken.

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CCSS.7.SP.C.8B

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How do you find the probability of drawing a specific item from a group?

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To find the probability of drawing a specific item, divide the number of that item by the total number of items in the group.

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CCSS.7.SP.C.7B

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What is the probability of getting a perfect square from a spinner with numbers 1 to 4?

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The perfect squares from 1 to 4 are 1 and 4. If the spinner has 4 equal sections, the probability is 2/4 or 1/2.

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CCSS.7.SP.C.7B

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If a cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies, what is the probability of choosing a peanut butter cookie first?

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The total number of cookies is 6 dozen (72 cookies). The probability of choosing a peanut butter cookie first is 12/72 or 1/6.

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CCSS.7.SP.C.7B

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How do you calculate the total number of outfits possible with different clothing items?

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To calculate the total number of outfits, multiply the number of options for each clothing item. For example, with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, the total outfits = 5 * 8 * 2 = 80.