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Theoretical Probability
Estimated Probability
Tree Diagrams
Compound Probability
Statistics
100
Define Theoretical Probability.
What is "what we expect to occur if we repeat the same experiment over and over"?
100
Define Estimated Probability
What is "what actually occurs when an experiment takes place; an approximation or estimate of the theoretical probability"?
100
The total outcomes when flipping a coin two times are as follows: _______________ (use a tree diagram to solve)
What is HH, HT, TH, TT?
100
The difference between an independent compound event and a dependent compound event is _________________________________________________
What is "when compound events are independent, the outcome of one does not affect the outcome of a second event. When compound events are dependent, the outcome of one event DOES affect the outcome of a second event"?
100
Define both population and sample.
What is "population is the entire set of object from which data might be collected" and "sample is a subset of the population"?
200
When rolling a fair dice, the theoretical probability of rolling a 3 is ______
What is 1/6?
200
________________ is the proportion derived from the number of observed outcomes of an event divided by the total number of outcomes
What is relative frequency?
200
You flip a coin two times, the probability of flipping two heads is ______ (answer must be in percent form)
What is 25%
200
Determine if the following events are independent or dependent: 1) Ann draws a colored toothpick from a jar. Without replacing it, she draws a second toothpick: __________ 2) Johns rolls a six on a number cube and then flips a coin that comes up heads:__________
What is 1) dependent and 2) independent?
200
Give an example of a population that would most likely require a sample in order to study.
What is (answers will vary- a population that is very large and would difficult to collect information from all members)?
300
When rolling a fair dice, the theoretical probability of rolling a number less than 4 is ______ (answer must be in reduced fraction form)
What is 3/6 = 1/2?
300
You toss a coin and the results are as follows: 58 heads and 62 tails. Based off this information, the estimated probability of getting a heads is _______
What is 58/120 or 29/60?
300
Two dice are thrown together. The probability that the first number is even and the next is odd is ______ (use a tree diagram to help solve)
What is 1/4?
300
A fair die is rolled and the spinner with the sample space {A, B, C, D} is spun. The probability of rolling a 1 and spinning an A is ______
What is 1/24?
300
These statements: -Every individual or object has an equal and independent chance of being selected -Selected using some chance process -The results tend to produce a group representative of the population describes a ________________
What is a random sample?
400
When using a standard deck of 52 cards, when selecting a card at random the probability of selecting a 10 is _______ (answer must be in reduced fraction form)
What is 4/52 = 1/13?
400
A pair of dice (one red, one green) is cast 30 times, and on 4 of these occasions, the sum of the numbers facing up is 7. Let E be the event that the sum is 7. The relative frequency that the sum is 7 is P(E) = ___________ (answer must be in reduced fraction form OR percent)
What is 2/15 or ~13%
400
Two dice are thrown together. The probability that both numbers are less than 5 is ______
What is 16/36 or 4/9?
400
A fair die is rolled and the spinner with the sample space {A, B, C, D} is spun. The probability of rolling an odd number and spinning a vowel is ______ (answer must be in simplified fraction form)
What is 3/24 = 1/8?
400
______________ refers to the fact that the statistical information from a sample (a statistic) will vary as the random sampling is repeated
What is sample variability?
500
When using a standard deck of 52 cards, when selecting a card at random the probability of selecting a hearts is _______ (answer must be in reduced fraction form)
What is 13/52 = 1/4?
500
A number cube is rolled and the results are recorded as follows: there were 8 ones, 10 twos, 2 threes, 3 fours, 7 fives, and 5 sixes. The estimated probability of rolling a three or a four is _______ (answer must be in reduced fraction form)
What is 5/35 = 1/7?
500
A baker can make yellow or white cakes with a choice of chocolate, strawberry, or vanilla icing. After making a tree diagram, we know the outcomes are as follows: ________________ and each combination has a probability of _______
What is YC, YS, YV, WC, WS, WV and 1/6?
500
You roll two fair six-sided dice. The probability that both dice show an odd number is ______
What is 1/4?
500
Determine whether or not the sample is random. Explain why. 1) You want to know which stores people shop at the most in the mall. You ask your 15 closest friends what stores they shop at the most in order to collect data. 2) You want to know what 7th graders think of their science class. You poll fifty 7th graders chosen randomly from the class rosters to survey.
What is "1) not a random sample (because it is a convenience sample) and 2) a random sample because the sample is chosen randomly"?