is certain.","back":"A probability of 0 means the event is impossible, while a probability of 1 means it is certain.","points":null},{"id":"bf1309a6-085a-44dc-ad24-c317ac0eebcf","cardType":"cloze","front":"A probability of 0 means the event is impossible, while a probability of [ ] means it is certain.","back":"A probability of 0 means the event is impossible, while a probability of 1 means it is certain.","points":null},{"id":"10e4d45e-f6cb-4f58-a1b9-257dc27f0125","cardType":"basic","front":"What does it mean for a die or coin to be biased?","back":"The outcomes are not equally likely.","points":1},{"id":"a6bdd351-c944-40a5-b248-d97228c84b9f","cardType":"basic","front":"What must the sum of probabilities be for a complete set of exhaustive outcomes?","back":"1","points":1},{"id":"fda4b9d4-d51f-41b4-87fc-94e868faccdd","cardType":"cloze","front":"Outcomes are [ ] when the list includes every possible result.","back":"Outcomes are exhaustive when the list includes every possible result.","points":null},{"id":"c81e8814-6f92-42d8-830f-e62d68a8f993","cardType":"basic","front":"If a table lists all possible outcomes, how do you find one missing probability?","back":"Subtract all known probabilities from 1.","points":1},{"id":"79e5f640-fe58-4ded-abfa-2c6a1de46767","cardType":"basic","front":"In a complete set, the probability left over is $0.52$. If the two missing outcomes are equally likely, what is the probability of each?","back":"$$0.26$ ($0.52 \\div 2$)","points":2},{"id":"081920c7-5a50-4b3e-a482-783deefa2a28","cardType":"basic","front":"If outcomes are given as fractions with different denominators, what step is required before subtracting from 1?","back":"Find a common denominator.","points":2},{"id":"259fab5b-b8cf-4e05-8dfe-54cc1971c3b7","cardType":"basic","front":"Translate the relationship \"Red is three times as likely as Blue\" into a ratio.","back":"Red : Blue = 3 : 1","points":1},{"id":"cff4627e-6fc1-405d-bb47-9c5a41e8d52e","cardType":"cloze","front":"If outcome A is twice as likely as outcome B, you should split the remaining probability into [ ] equal parts.","back":"If outcome A is twice as likely as outcome B, you should split the remaining probability into 3 equal parts.","points":null},{"id":"5b0468d9-abd6-4008-99f1-36ab5003f054","cardType":"basic","front":"How do you turn a ratio (e.g., $4:3:5$) into probabilities?","back":"Divide each part by the total number of parts ($12$ in this case).","points":2},{"id":"6f82b454-82f4-4f7f-b70e-12a4a1be2b53","cardType":"basic","front":"State the formula for expected frequency.","back":"$$\\text{probability} \\times \\text{number of trials}$","points":1},{"id":"4b9ed35c-123f-4d2b-8c61-f74a25a565a6","cardType":"basic","front":"A biased die has $P(6) = 0.31$. Estimate the number of sixes in $200$ rolls.","back":"62 ($0.31 \\times 200$)","points":2},{"id":"a9fcd426-f8f5-4df3-bbe4-9c30e6695cb5","cardType":"cloze","front":"An expected frequency is an [ ], not a guaranteed result.","back":"An expected frequency is an estimate, not a guaranteed result.","points":null},{"id":"3b6ae063-8bf5-42e5-b317-4501eecb3085","cardType":"basic","front":"What is the basic formula relating probability, the number in an event, and the total number?","back":"$$P(\\text{event}) = \\frac{\\text{number in event}}{\\text{total number}}$","points":1},{"id":"f5c7804d-a3d6-4237-9378-0bd0252c5dfa","cardType":"basic","fr

Probability Flashcards

Probability Flashcards

Probability Flashcards

Probability Flashcards