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Probability Practice Test: answer key

Every answer, with a link to its step-by-step solution

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#AnswerLessonSolution
1outfits = 6Counting choicesSolved step by step
2PINs = 5040Counting choicesSolved step by step
3C ways = 24FactorialsSolved step by step
4ways = 5040FactorialsSolved step by step
5D 20PermutationsSolved step by step
6210PermutationsSolved step by step
7B 10CombinationsSolved step by step
835CombinationsSolved step by step
9C P(4) = 16ProbabilitySolved step by step
10P(not multiple of 5) = 45ProbabilitySolved step by step
11D P(a) = 38OddsSolved step by step
12P(win) = 14OddsSolved step by step
13D 56%Experimental probabilitySolved step by step
140%Experimental probabilitySolved step by step
15A P(2 heads) = 14Sample spacesSolved step by step
16P(sum more than 3) = 1112Sample spacesSolved step by step
17A P(all red) = 215Probability with countingSolved step by step
18P(all kings) ≈ 0.000181Probability with countingSolved step by step
19P(A or B) = 13Probability with orSolved step by step
20P(A or B) = 713Probability with orSolved step by step
21P(heads and 6) = 112Probability with andSolved step by step
22P(both black) = 29Probability with andSolved step by step
23P(dog) = 1425Two-way tablesSolved step by step
24P(woman or right) = 35Two-way tablesSolved step by step
25P(dog | girl) = 23Conditional probabilitySolved step by step
26P(girl | bike) = 47Conditional probabilitySolved step by step
27A P(both) = 15Venn and tree diagramsSolved step by step
28P(sun | walk) = 0.8Venn and tree diagramsSolved step by step
29A E = $0.40Expected valueSolved step by step
30E = $0.25Expected valueSolved step by step
31B P(1 head) = 38Binomial probabilitySolved step by step
32P(1 one) ≈ 0.4019Binomial probabilitySolved step by step

Grade

Count your right answers and divide by the number of questions: A 90% or more, B 80%, C 70%, D 60%, F below 60%.