Table of Contents

    Practical Probability Examples: Problems, Solutions, and Real-World Applications

    Probability - Example

    Scenario

    Consider a scenario where three coins are tossed simultaneously. What is the probability of at least one being heads?

    Probability - Scenario Example
    Figure: Probability - Scenario Example


    Solution

    Sample Space

    S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

     n(S)=8
    

    Event

    E= Getting at least one heads

    E={HHH, HHT, HTH, THH, HTT, THT,TTH}

     n(E)=7
    

    Probability

    $$ P(E) = \frac{n(E)}{n(S)}$$ $$P(\text{getting one heads}) = \frac{7}{8} $$