Including, but not limited to: Positive rational numbers the set of numbers that can be expressed as a fraction , where a and b are whole numbers and b 0, which includes the – ≠ subsets of whole numbers and counting (natural) numbers (e.g., 0, 2, etc.). Various forms of positive rational numbers Whole numbers Decimals (less than or equal to one) Fractions (proper or equal to one) Percents (less than or equal to 100%) Event a probable situation or condition – Outcome the result of an action or event – Mutually exclusive events events that cannot happen at the same time – Ex: Sample space a set of all possible outcomes of one or more events – Probability a ratio between the number of desired outcomes to the total possible outcomes, p – 0 ≤ ≤1 Probability = Notation for probability P(event) The closer a probability of an outcome is to 1, the more likely the outcome will occur; whereas, the closer a probability of an outcome is to 0, the less likely the outcome will occur. Ex: Theoretical probability the likelihood of an event occurring without conducting an experiment – Various types of theoretical experiments Ex: Coins, drawing objects out of box without looking, spinners with even and uneven sections, choosing a random card, marbles, number cubes, etc. Representation of theoretical probability as a fraction, decimal, or percent Ex: Three out of the ten sections are blue: , 0.3, 30% Simple event an event that consists of a single outcome – Compound events events that consists of two or more simple events and consists of more than one outcome – Compound independent events events with more than one outcome, and one event does not affect the outcome of the other – Compound dependent events events with more than one outcome, and the outcome of one event affects the outcome of the subsequent – event or events Proportional reasoning to make predictions using theoretical probability Ex:
Including, but not limited to: Positive rational numbers – the set of numbers that can be expressed as a fraction , where a and b are whole numbers and b ≠ 0, which includes the subsets of whole numbers and counting (natural) numbers (e.g., 0, 2, etc.). Various forms of positive rational numbers Whole numbers Decimals (less than or equal to one) Fractions (proper or equal to one) Percents (less than or equal to 100%) Event – a probable situation or condition Outcome – the result of an action or event Mutually exclusive events – events that cannot happen at the same time Ex: Sample space – a set of all possible outcomes of one or more events Probability – a ratio between the number of desired outcomes to the total possible outcomes, 0 ≤ p ≤1 Probability = Notation for probability P(event) The closer a probability of an outcome is to 1, the more likely the outcome will occur; whereas, the closer a probability of an outcome is to 0, the less likely the outcome will occur. Ex: Theoretical probability – the likelihood of an event occurring without conducting an experiment Various types of theoretical experiments Ex: Coins, drawing objects out of box without looking, spinners with even and uneven sections, choosing a random card, marbles, number cubes, etc. Representation of theoretical probability as a fraction, decimal, or percent Ex: Three out of the ten sections are blue: , 0.3, 30% Simple event – an event that consists of a single outcome Compound events – events that consists of two or more simple events and consists of more than one outcome Compound independent events – events with more than one outcome, and one event does not affect the outcome of the other Compound dependent events – events with more than one outcome, and the outcome of one event affects the outcome of the subsequent event or events Proportional reasoning to make predictions using theoretical probability Ex: