Probability and Statistics
Problems related to probability distributions, statistical inference, data analysis, etc.
Problems in this category
A group of tourists consists of 3 men and 5 women. They stand in a line randomly to buy tickets to v...
PermutationsProbabilityCombinationsFactorials
2025/7/18
The problem seems to be calculating the standard deviation of returns given probabilities and return...
Standard DeviationVarianceExpected ValueProbability Distributions
2025/7/17
We are given that $P(A \cup B) = 0.7$ and $P(A \cup B^c) = 0.9$. We need to find $P(A)$.
ProbabilitySet TheoryConditional ProbabilityProbability of UnionComplement
2025/7/16
The problem provides a frequency distribution table of marks obtained by 50 students. It asks us to:...
Frequency DistributionCumulative FrequencyOgiveMedianPercentileModeDescriptive Statistics
2025/7/16
We have a bag with 7 red discs and 5 blue discs. Two discs are drawn at random without replacement. ...
ProbabilityConditional ProbabilityWithout ReplacementCombinatorics
2025/7/15
The problem consists of two parts. (a) A biased square spinner has the following probabilities: Scor...
ProbabilityExpected ValueIndependent EventsConditional ProbabilityDiscrete Probability
2025/7/15
The problem consists of two independent probability questions: (c)(i) A bag contains 15 red beads an...
ProbabilityIndependent EventsConditional ProbabilityWithout Replacement
2025/7/15
We are asked to solve three probability problems: (b) A bag contains 54 red marbles and some blue ma...
ProbabilityConditional ProbabilityCombinatorics
2025/7/15
The problem describes a class of 32 students. We are given information about how many students study...
ProbabilityVenn DiagramsConditional ProbabilitySet Theory
2025/7/15
The problem is based on a Venn diagram representing a group of 50 students. The Venn diagram shows t...
Venn DiagramsSet TheoryProbabilityConditional Probability
2025/7/15