CBSE Important Questions

Mathmatics Class X

Time - 1Hr M.M. - 30

  1. A number is chosen from 1 to 20. Find the probability that the number chosen is :
    (i) a prime number
    (ii) a composite number
    (iii) a square number
    (iv) an odd number
    (v) an even number
    (vi) number between 7 and 14
  2. A bag contains 9 red and 6 blue balls. Find the probability that a ball drawn from a bag at random is
    (i) Red ball
    (ii) blue ball
  3. In a sample of 500 items, 120 are found to be defective. Find the probability that the item selected at random is
    (i) Defective
    (ii) non-defective
  4. In a school of 1800 students, there are 875 girls. Find the probability that a student chosen at random is
    (i) a boy
    (ii) a girl
  5. In a cricket match, a batsman hit a boundary 12 times out 45 balls he plays. Find the probability that he did not hit a
    boundary.
  6. A coin is tossed 700 times and we get head : 385 times; tail : 315 times. When a coin is tossed at random, what is
    the probability of getting:
    (i) a head?
    (ii) a tail?
  7. Two coins are tossed 600 times and we get two heads: 138 times, one head : 192 times ; no head : 270 times. When
    two coins are tossed at random, what is the probability of getting?
    (i) 2 heads?
    (ii) 1 head?
    (iii) no head?
  8. Three coins are tossed 250 times and we get: 3 heads : 46 times; 2 heads : 56 times; 1 head : 70 times; 0 head : 78
    times. When three coins are tossed at random, what is the probability of getting :
    (i) 3 heads ?
    (ii) 2 heads?
    (iii) at least 2 heads?
    (iv) atmost 2 heads?
  9. A die is thrown 300 times and the outcomes are noted as given below :Frequencies 58 75 52 39 42 34 Outcomes 1 2 3 4 5 6 When a die is thrown at random, what is the probability of getting a:
    (i) 4
    (ii ) 6
    (iii) number less than 3
    (iv) number which is prime
  10. In a survey of 350 ladies, it was found that 235 like coffee, while rest of them dislike it. Find the probability that a lady chosen at random:
    (i) likes coffee
    (ii) dislikes coffee.
  11. On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their units digit is given below : Frequency 21 20 21 21 22 25 22 17 15 16 Units digit 0 1 2 3 4 5 6 7 8 9 One of the numbers is chosen at random from the page. What is the probability that the units digit of the chosen number is
    (I) 5
    (ii) 8
    (iii) an even number
    (iv) an odd number
Submitted By: Mr. Ajai Kumar Shukla,
RACHNA TUTORIALS, 6/1003 JANKIPURAM VISTAR LUCKNOW
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