The mode is the piece of data that occurs most frequently. If no value occurs more often than any other, there is no mode. If there is more than one value that occurs most often, all these values are modes. When there are exactly two modes, the data set is bimodal. 6.16 The student will a) compare and contrast dependent and independent events; and b) determine probabilities for dependent and independent events. UNDERSTANDING THE STANDARD ESSENTIAL UNDERSTANDINGS ESSENTIAL KNOWLEDGE AND SKILLS (Background Information for Instructor Use Only) The probability of an event occurring is equal to the How can you determine if a situation involves dependent The student will use problem solving, mathematical ratio of desired outcomes to the total number of or independent events? Events are communication, mathematical reasoning, possible outcomes (sample space). independent when the outcome of one has no effect connections, and representations to on the outcome of the other. Events are dependent The probability of an event occurring can be represented Determine whether two events are dependent or when the outcome of one event is influenced by the as a ratio or the equivalent fraction, decimal, or independent. outcome of the other. percent. Compare and contrast dependent and independent The probability of an event occurring is a ratio between events. 0 and 1. Determine the probability of two dependent events. A probability of 0 means the event will never occur. Determine the probability of two independent events. A probability of 1 the event will always occur. A simple event is one event (e.g., pulling one sock out of a drawer and examining the probability of getting one color). Events are independent when the outcome of one has no effect on the outcome of the other. For example, rolling a number cube and flipping a coin are independent events.
The mode is the piece of data that occurs most frequently. If no value occurs more often than any other, there is no mode. If there is more than one value that occurs most often, all these values are modes. When there are exactly two modes, the data set is bimodal. 6.16 The student will a) compare and contrast dependent and independent events; and b) determine probabilities for dependent and independent events. UNDERSTANDING THE STANDARD (Background Information for Instructor Use Only) ESSENTIAL UNDERSTANDINGS ESSENTIAL KNOWLEDGE AND SKILLS The probability of an event occurring is equal to the ratio of desired outcomes to the total number of possible outcomes (sample space). The probability of an event occurring can be represented as a ratio or the equivalent fraction, decimal, or percent. The probability of an event occurring is a ratio between 0 and 1. A probability of 0 means the event will never occur. A probability of 1 the event will always occur. A simple event is one event (e.g., pulling one sock out of a drawer and examining the probability of getting one color). Events are independent when the outcome of one has no effect on the outcome of the other. For example, rolling a number cube and flipping a coin are independent events. How can you determine if a situation involves dependent or independent events? Events are independent when the outcome of one has no effect on the outcome of the other. Events are dependent when the outcome of one event is influenced by the outcome of the other. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Determine whether two events are dependent or independent. Compare and contrast dependent and independent events. Determine the probability of two dependent events. Determine the probability of two independent events.
cpr.math.6h.crosswalkyear.2017.docx