10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    A card is drawn at random from a well-shuffled pack of 52 cards, the probability of getting a red king is:  (CBSE 2020)

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

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

    C) \[\frac{2}{13}\]

    D) \[\frac{7}{13}\]

    Correct Answer: A

    Solution :

    [a] In a well-shuffled pack of 52 cards.  
    Total no. of possible outcomes = 52  
    In a pack of 52 cards, there are 26 red cards, in which only 2 red kings.
    So. total No. of favourable outcomes (red king) =2
    \[\therefore \] P(a red king)
    \[=\frac{\text{No}.\text{ of favourable outcomes}}{\text{No}.\text{ of possible outcomes}}=\frac{2}{52}=\frac{1}{26}\]


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