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The Mathematics of Maybe: Introduction to Probability — Class 9 solved problems

7 problems from this chapter, each solved step by step.

  1. What is the probablity of landing two 6s on 2 die rolled 26 times?

    The probability of landing two 6s on 2 die is (1)/(36). The number of times the dice are rolled (26 times) does not affect the probability of this event in a si

  2. हिंदी में जवाब दो: The marks of 10 students are 22, 35, 35, 40, 22, 50, 35, 45, 40 and 22. Find the mode and the range of the data.

    The mode of the data is 22 and 35. The range of the data is 28.

  3. A die is thrown once. Find the probability of getting a prime number.

    The probability of getting a prime number when a die is thrown once is (1)/(2).

  4. Suppose we throw a die once. (i) What is the probability of getting a number greater than 4? (ii) What is the probability of getting a number less than or equal

    (i) The probability of getting a number greater than 4 is (1)/(3). (ii) The probability of getting a number less than or equal to 4 is (2)/(3).

  5. A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be (i) white? (ii) blue? (i

    The probability of drawing a white marble is (2)/(9). The probability of drawing a blue marble is (1)/(3). The probability of drawing a red marble is (4)/(9).

  6. Harpreet tosses two different coins simultaneously (say, one is of 1 and other of 2). What is the probability that she gets at least one head?

    The probability of getting at least one head is (3)/(4).

  7. One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be (i) a diamond (ii) n

    (i) The probability of drawing a diamond is (1)/(4). (ii) The probability of not drawing an ace is (12)/(13). (iii) The probability of drawing a black card is (

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