Investigate chance processes and develop, use, and evaluate probability models.
Standard:
M07.D-S.3.1.1
Description:
Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (i.e., a probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event)
Standard:
Math.7.SP.5 or 7.SP.C.5
Description:
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
Standard:
Math.7.SP.6 or 7.SP.C.6
Description:
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
Standard:
M07.D-S.3.2.1
Description:
Determine the probability of a chance event given relative frequency. Predict the approximate relative frequency given the probability
Standard:
M07.D-S.3.2.2
Description:
Find the probability of a simple event, including the probability of a simple event not occurring.
Standard:
M07.D-S.3.2.3
Description:
Find probabilities of independent compound events using organized lists, tables, tree diagrams, and simulation
Standard:
Math.7.SP.7a or 7.SP.C.7.A
Description:
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
Standard:
Math.7.SP.7b or 7.SP.C.7.B
Description:
Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?
Standard:
Math.7.SP.8a or 7.SP.C.8.A
Description:
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.
Standard:
Math.7.SP.8b or 7.SP.C.8.B
Description:
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.
Probability measures the likelihood that an event will occur.
A probability near 0 indicates that an event is unlikely.
A probability near 1 indicates that an event is likely.
A probability near indicates that an event is neither unlikely nor likely.
Example:
First, find the total number of tokens in the bag.
2 + 5 + 3 = 10
Out of the 10 tokens in the bag, 5 of the tokens are blue. Write the probability as a fraction, and simplify if possible.
So, the probability Haley selects a blue token is .