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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Math Olympiad 5
Week 1: Number SubstitutionWeek 2: MeasurementsWeek 3: Sum, Difference & MultipleWeek 4: Fraction & DecimalsWeek 5: Quiz 1Week 6: Solve EquationWeek 7: Geometry (1)Week 8: Counting ProblemsWeek 9: Number CalculationWeek 10: Quiz 2Week 11: Percentage ProblemsWeek 12: Distance, Speed & TimeWeek 13: Work ProblemsWeek 14: Divisibility and RemainderWeek 15: Quiz 3Week 16: Least and MostWeek 17: Word Problems (1)Week 18: Number Thinking (1)Week 19: Combination & Probability (1)Week 20: Quiz 4Week 21: AlgebraWeek 22: Time ProblemsWeek 23: Average ProblemsWeek 24: Multiple & FactorWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio ProblemsWeek 28: Number Thinking (2)Week 29: Data AnalysisWeek 30: Age ProblemsWeek 31: Quiz 6Week 32: Number SequencesWeek 33: Pattern ProblemWeek 34: "Unsolvable" EquationsWeek 35: Money ProblemsWeek 36: Quiz 7Week 37: Geometry(2)Week 38: Logical ReasoningWeek 39: Word Problem (2)Week 40: Number Thinking (3)Week 41: Quiz 8Week 42: Combination & Probability (2)Week 43: Distance, Speed & Time (2)Week 44: Challenge Geometry Questions Week 45: Sum, Difference & Multiple (2)Week 46: Quiz 9Week 47: Probability ProblemsWeek 48: Distance, Speed & Time (3)Week 49: Price & CostWeek 50: Challenge ProblemsWeek 51: Quiz 10Week 52: Final Exam
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Probability Problems( Week 47 Practice)
1.  The probability of finding a bulb with some kind of defect in a batch of improperly produced bulbs is
3
10
 . Which of the following could NOT be the number of bulbs in the batch?
A) 10
B) 40
C) 20
D) 12
2.  A box contains only red T-shirts, blue T-shirts, and green T-shirts. The probability of randomly selecting a non-red T-shirt from this box is
5
6
 , and the probability of randomly selecting a blue T-shirt is
1
9
 . Which of the following could be the total number of T-shirts in the box?
A) 54
B) 39
C) 74
D) 37
E) 76
3.  The probability of having head up is
3
2
  of the probability of having tail up in tossing an imperfect coin. What is the probability of having head up in any random toss of the coin?
A)
1
5
 
B)
1
3
 
C)
2
5
 
D)
3
5
 
E)
1
2
 
4.  A spinner shown in the diagram has 11 equal sections. The probability of the pointer falling into each section is the same (Assume the pointer will never fall on a line between two sections). What is the probability that the product of the two numbers that occur in two tries is an even number?
Best GT Prep
A)
83
121
 
B)
5
11
 
C)
85
121
 
D)
86
121
 
E)
8
11
 
5.  A spinner shown in the diagram has 11 equal sections. The probability of the pointer falling into each section is the same (Assume the pointer will never fall on a line between two sections). What is the probability that the sum of the two numbers that occur in two tries is an even number?
Best GT Prep
A)
63
121
 
B)
64
121
 
C)
61
121
 
D)
60
121
 
E)
5
11
 



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