10th Class Mathematics Probability Question Bank Probability

  • question_answer Three cards of spades are lost from a pack of 52 playing cards. The remaining cards were well shuffled and then a card was drawn at random from them. Find the probability that the drawn cards is of black colour.

    A)  \[\frac{26}{49}\]                               

    B)  \[\frac{23}{49}\]                   

    C)  \[\frac{13}{26}\]                               

    D)  \[\frac{23}{52}\]                   

    Correct Answer: B

    Solution :

    No. of cards left \[=52-3=49\] No. of cards of spade left \[~=13-3=10\] No. of black cards left \[=13+10=23\] [\[\because \]  Spade is of black colour] Total no. of ways to draw a card = 49 No. of ways to draw a black card = 23 Required probability = 23/49

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