Tree Diagrams & Compound Probability | 7.SP.C.8 💚💙

In this short math video we will answer a standardized math test question using tree diagrams & compound probability. We will begin by reading the question and using the provided information to understand the tree diagram. We will then use the tree diagram to determine the compound probability of rolling an even number and spinning a specific color. We will understand that probability is the ratio of desired outcomes to total possible outcomes. An exemplar solution is modeled and explained.

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00:00 Introduction
00:10 The Question
00:59 Understanding the Question
01:13 Interpreting the Tree Diagram
02:20 Using the Tree Diagram to Find Compound Probability
02:50 Probability as a Ratio
03:14 The Solution

Statistics & Probability
7.SP.C.8 Determine the probability of a compound event, given a tree diagram.

7.SP.C.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

7.SP.C.8.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.

7.SP.C.8.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.

7.SP.C.8.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?