SolveItClass 10 · NCERT

NCERT Solutions · Class 10 Mathematics Probability

25 questions · 25 still being checked

EXERCISE 14.1 11–20 (part 2 of 3)

  1. Exercise 11

    Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5\displaystyle 5 male fish and 8\displaystyle 8 female fish (see Fig. 14.4\displaystyle 14.4). What is the probability that the fish taken out is a male fish?NCERT_Question_Class10_Maths_Ch14_Ex14-1_Q11
    NCERT’s answer
    $\displaystyle \frac{5}{13}$

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  2. Exercise 12

    A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1\displaystyle 1, 2\displaystyle 2, 3\displaystyle 3, 4\displaystyle 4, 5\displaystyle 5, 6\displaystyle 6, 7\displaystyle 7, 8\displaystyle 8 (see Fig. 14.5\displaystyle 14.5), and these are equally likely outcomes. What is the probability that it will point at
    (i)
    8\displaystyle 8 ? (ii) an odd number?
    (iii)
    a number greater than 2\displaystyle 2?
    (iv)
    a number less than 9\displaystyle 9?
    NCERT_Question_Class10_Maths_Ch14_Ex14-1_Q12
    NCERT’s answer
    (i)
    $\displaystyle \frac{1}{8}$ (ii) $\displaystyle \frac{1}{2}$ (iii) $\displaystyle \frac{3}{4}$ (iv) $\displaystyle 1$

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  3. Exercise 13

    A die is thrown once. Find the probability of getting
    (i)
    a prime number;
    (ii)
    a number lying between 2\displaystyle 2 and 6\displaystyle 6;
    (iii)
    an odd number.
    NCERT’s answer
    (i)
    $\displaystyle \frac{1}{2}$ (ii) $\displaystyle \frac{1}{2}$ (iii) $\displaystyle \frac{1}{2}$

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  4. Exercise 14

    One card is drawn from a well-shuffled deck of 52\displaystyle 52 cards. Find the probability of getting
    (i)
    a king of red colour
    (ii)
    a face card
    (iii)
    a red face card
    (iv)
    the jack of hearts
    (v)
    a spade
    (vi)
    the queen of diamonds
    NCERT’s answer
    (i)
    $\displaystyle \frac{1}{26}$ (ii) $\displaystyle \frac{3}{13}$ (iii) $\displaystyle \frac{3}{26}$ (iv) $\displaystyle \frac{1}{52}$ (v) $\displaystyle \frac{1}{4}$ (vi) $\displaystyle \frac{1}{52}$

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  5. Exercise 15

    Five cards-the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.
    (i)
    What is the probability that the card is the queen?
    (ii)
    If the queen is drawn and put aside, what is the probability that the second card picked up is
    (a)
    an ace?
    (b)
    a queen?
    NCERT’s answer
    (i)
    $\displaystyle \frac{1}{5}$ (ii) (a) $\displaystyle \frac{1}{4}$ (b) $\displaystyle 0$

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  6. Exercise 16

    12\displaystyle 12 defective pens are accidentally mixed with 132\displaystyle 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
    NCERT’s answer
    $\displaystyle \frac{11}{12}$

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  7. Exercise 17

    (i)
    A lot of 20\displaystyle 20 bulbs contain 4\displaystyle 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
    (ii)
    Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?
    NCERT’s answer
    (i)
    $\displaystyle \frac{1}{5}$ (ii) $\displaystyle \frac{15}{19}$

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  8. Exercise 18

    A box contains 90\displaystyle 90 discs which are numbered from 1\displaystyle 1 to 90\displaystyle 90 . If one disc is drawn at random from the box, find the probability that it bears
    (i)
    a two-digit number
    (ii)
    a perfect square number
    (iii)
    a number divisible by 5\displaystyle 5 .
    NCERT’s answer
    (i)
    $\displaystyle \frac{9}{10}$ (ii) $\displaystyle \frac{1}{10}$ (iii) $\displaystyle \frac{1}{5}$

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  9. Exercise 19

    A child has a die whose six faces show the letters as given below: ![](https://cdn.mathpix.com/cropped/6d5ef15c-99ab-492a-9b37-592ec89f0fce-3.jpg?height=76\displaystyle 76&width=518\displaystyle 518&top_left_y=397\displaystyle 397&top_left_x=518\displaystyle 518) The die is thrown once. What is the probability of getting
    (i)
    A? (ii) D?
    NCERT’s answer
    (i)
    $\displaystyle \frac{1}{3}$ (ii) $\displaystyle \frac{1}{6}$

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  10. Exercise 20

    Suppose you drop a die at random on the rectangular region shown in Fig. 14.6. What is the probability that it will land inside the circle with diameter 1m?NCERT_Question_Class10_Maths_Ch14_Ex14-1_Q20
    NCERT’s answer
    $\displaystyle \frac{\pi}{24}$

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