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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
2
5
 . Which of the following could NOT be the number of bulbs in the batch?
A) 20
B) 5
C) 14
D) 10
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
3
4
 , and the probability of randomly selecting a blue T-shirt is
1
2
 . Which of the following could be the total number of T-shirts in the box?
A) 17
B) 12
C) 11
D) 12
E) 18
3.  The probability of having head up is
7
6
  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)
9
13
 
B)
8
13
 
C)
7
13
 
D)
4
7
 
E)
3
5
 
4.  A spinner shown in the diagram has 10 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)
3
4
 
B)
19
25
 
C)
18
25
 
D)
3
5
 
E)
77
100
 
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 odd number?
Best GT Prep
A)
6
11
 
B)
58
121
 
C)
60
121
 
D)
57
121
 
E)
59
121
 



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