10th Class Mathematics Probability Question Bank Case Based MCQs - Probability

  • question_answer
    Directions: Q. 1 to 5
    On a weekend Rani was playing cards' with her family. The deck has 52 cards.
    If her brother drew one card.
    Find the probability of getting a king of red colour.

    A) \[\frac{1}{26}\]

    B) \[\frac{1}{13}\]

    C) \[\frac{1}{52}\]

    D) \[\frac{1}{4}\]

    Correct Answer: A

    Solution :

    Total number of cards in one deck of cards is 52. \[\therefore \] Total number of outcomes = 52 (i) Let \[{{E}_{1}}\] = Event of getting a king of red colour \[\therefore \]Number of outcomes favourable to \[{{E}_{1}}=2\] [\[\because \] there are four kings in a deck of playing cards out of which two are red and two are black] Hence, probability of getting a king of red colour, \[P\left( {{E}_{1}} \right)=\frac{2}{52}=\frac{1}{26}\]


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