10th Class Mathematics Probability Question Bank Probability

  • question_answer Fill in the blanks.
    (i) In a single throw of a dice, the probability of getting a number greater than 2 is P.
    (ii) A card is drawn from a deck of 52 cards. The probability of drawing a red card is Q and a face card is R.
    (iii) A bag contains 2 blue and 3 green marbles, then the probability of drawing red marble S

    A)

    P Q R S
    \[\frac{1}{3}\] \[\frac{11}{26}\] \[\frac{2}{11}\] 1
                   

    B)

    P Q R S
    \[\frac{1}{6}\] \[\frac{1}{4}\] \[\frac{3}{11}\] 0
                   

    C)

    P Q R S
    \[\frac{2}{3}\] \[\frac{1}{2}\] \[\frac{3}{13}\] 0
                   

    D)

    P Q R S
    \[\frac{2}{3}\] \[\frac{1}{2}\] \[\frac{3}{13}\] \[\frac{3}{5}\]

    Correct Answer: C

    Solution :

    (i) Total number of outcomes = 6 Numbers greater than 2 are 3, 4, 5, and 6. Favorable outcomes = 4 \[\therefore \]  Required probability \[=\frac{4}{6}=\frac{2}{3}\] (ii) Total number of outcomes = 52 Number of red cards = 26 \[\therefore \] Probability of drawing a red card \[=\frac{26}{52}=\frac{1}{2}\] Number of face cards = 12 \[\therefore \]Probability of drawing a face card \[=\frac{12}{52}=\frac{3}{13}\]. (iii) Since, there is no red marble in the bag, so probability of drawing a red marble is zero.                

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