A. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
B. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., rolling double sixes, identify the outcomes in the sample space which compose the event.
C. Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?
Common Core: 7.SP.8
Suggested Learning Targets
The following diagram shows the formulas for the probability of compound events: Dependent, Independent, Mutually Exclusive and Mutually Inclusive. Scroll down the page for more examples and solutions on how to calculate the probability of compound events.
Simple and Compound Probability - Grade 7 Common Core Mathematics
CC.7.SP.8A – Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
Probability is the number of favorable outcomes for an event to occur divided by the number of all possible outcomes for the event to occur.
Probability can be expressed as a fraction, a decimal, or a percent.
A dependent event is two or more events in which the outcome of one event affects the outcome of other events.
The probability of two dependent events can depend on replacement or non-replacement of the object.
Independent vs Dependent Probability
Mutually Exclusive Events: Examples
Probability of Inclusive Events and Examples
Independent and Dependent Probability
A bag contains 3 blue and 5 red marbles.
a. Find the probability of drawing 2 blue marbles in a row without replacing after the first marble is drawn.
b. Find the probability of drawing a red marble, replacing it and then drawing a blue marble.
Probability-Independent and Dependent Events
Probability-Independent and Dependent Events: Defining Independent and Dependent events, solving for the probability of multiple independent events, solving for the probability of dependent events by finding the conditional probability, and comparing the difference between independent and dependent probabilities.
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