10th Class Mathematics Probability Question Bank Probability

  • question_answer
    Two customers Shyam and Ekta are visiting; a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit; the shop on any one day as on another. What is the probability that both will visit the shop on different days?

    A)  \[\frac{3}{5}\]                                   

    B)  \[\frac{4}{5}\]                       

    C)  \[\frac{12}{25}\]                               

    D)  \[\frac{1}{5}\]

    Correct Answer: B

    Solution :

    Shyam and Ekta are visiting a shop from Tuesday to Saturday. Total possible ways of visiting the shop by them \[=5\times 5=25\]. Possible ways of visiting the shop on same day = 5 Possible ways of visiting the shop on different days \[\text{=}25-5=20\] \[\therefore \] Probability of visiting the shop on different days \[=\frac{20}{25}=\frac{4}{5}\]


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