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VARDAAN LEARNING INSTITUTE

Mastersheet: Probability

Class: Class 10 Mathematics Type: Board Pattern Master Questions Time: 90 Mins
Section A: Board level Questions
  1. A box contains 90 discs which are numbered from 1 to 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.
  2. One card is drawn from a well-shuffled deck of 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.
  3. A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.
  4. Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes and determine the probability that the sum of the two numbers appearing on the top of the dice is: (i) 8, (ii) 13, (iii) less than or equal to 12.
  5. Differentiate between theoretical probability and experimental probability.