Assess Readiness
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Look at Part 1. How can you determine whether an event is likely or unlikely?
Possible response: events with probabilities between
0 and\frac{1}{2} are unlikely, and events with probabilities between\frac{1}{2} and1 are likely. -
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Look at option A. Is this statement true or false, and how do you know?
True; the fraction of red crayons is
\frac2{24} , or\frac1{12} , and\frac1{12} is between 0 and\frac12 so the event is unlikely. -
Is option B true or false? How do you know?
False; it is impossible to select a pink crayon because there are no pink crayons in the drawer.
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Is option C true or false? How do you know?
True. Possible explanation: the probability of choosing a blue crayon is
\frac{13}{24} and\frac {13}{24} is between\frac{1}{2} and 1, so this event is likely. -
Look at Part 2. How can you calculate the relative frequency of each outcome?
Divide the number of times the outcome was observed by the total number of times that the cup was flipped.
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How many times was the cup flipped in these experiments? How do you know?
50 times; 15 + 5 + 30 = 50.
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What is the relative frequency of each outcome?
Top-down:
\frac{15}{50} = 0.30 Bottom-down:
\frac{5}{50} = 0.10 Side:
\frac{30}{50} = 0.60 -
Based on the relative frequencies, do you think that each outcome is equally likely? Why or why not?
Possible response: no, they are not equally likely; if they were equally likely, you would expect each outcome to have similar relative frequencies.
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Look at Part 3. How many possible outcomes are there on this spinner? How do you know?
8; there are 8 different locations that the spinner can land on.
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What is the probability of each color on the spinner?
Pink:
\frac{3}{8} Yellow:
\frac{2}{8} = \frac{1}{4} Blue:
\frac{2}{8} =\frac{1}{4} Purple:
\frac{1}{8} -
Rank each color in order from least likely to be chosen to most likely to be chosen.
Purple < (Yellow/Blue) < Pink
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