# Probability (Dependent & Independent Events)

Lessons with examples and solutions to help Grade 7 students learn how to find probabilities of compound events using organized lists, tables, tree diagrams and simulation.

Related Topics:

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

• I can explain that the fraction of outcomes in probability of a compound event is similar to the probability of a simple event.
• I can use tree diagrams, frequency tables, and organized lists to determine the probability of a compound event.
• I can identify the outcomes in a sample space.
• I can represent probability outcomes as fractions, decimals, or percents.
• I can design a simulation to estimate the probability of a compound event.
• I can use a simulation to estimate the probability of a compound event.

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 ration 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 Independent and Dependent Probability 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. Probability of Dependent and Independent Events
Grade 6 / Math / Probability
CCSS: Math.7.SP.C.8a
Lesson Objective
Identify and create examples of independent and dependent events

Probability with replacement and without replacement

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