Ms. Sushmita went to a fair and participated in a game. A box contained number cards numbered from 01 to 30. The prizes were awarded as follows:
| Prize | Number on the card drawn at random is a |
|---|---|
| Wall clock | Perfect square |
| Water bottle | Even number which is also a multiple of 3 |
| Purse | Prime number |
Find the probability of winning:
(a) a wall clock.
(b) a water bottle.
(c) a purse.
Total number of possible outcomes = 30
(a) Perfect squares from 1 to 30 are 1, 4, 9, 16 and 25.
Number of favourable outcomes = 5
Probability of winning a wall clock = \frac{5}{30} = \frac{1}{6}
(b) Even numbers that are also multiples of 3 are 6, 12, 18, 24 and 30.
Number of favourable outcomes = 5
Probability of winning a water bottle = \frac{5}{30} = \frac{1}{6}
(c) Prime numbers from 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
Number of favourable outcomes = 10
Probability of winning a purse = \frac{10}{30} = \frac{1}{3}
More ICSE Easy level questions
Which of the following cannot be the probability of an event? (a) (b) 0.25 (c) (d) 67%
Assertion (A): The probability of getting a number greater than 6 on throwing a die is . Reason (R): The possible outcomes on throwing a die are 1, 2, 3, 4, 5 and 6. (a) A is true and R is false. (b) A is false and R is true. (c) Both A and R are true and R is the correct explanation of A. (d) Both A and R are true but R is not the correct explanation of A.
A bag contains 25 cards numbered from 1 to 25. A card is drawn at random. Find the probability that the number on the card drawn is: (a) a multiple of 5 (b) a perfect square (c) a prime number.
A survey was conducted on 300 families having 2 children each. The results obtained are given below. Number of girl child Number of families 2 95 1 165 0 40 Total 300 If one family is selected at random, find the probability that it will have: (a) one girl child (b) one or more girl child (c) no boy child
Assertion (A): A die is thrown once and the probability of getting an even number is 2/3. Reason (R): The sample space for even numbers on a die is {2, 4, 6}. (a) A is true, R is false. (b) A is false, R is true. (c) Both A and R are true. (d) Both A and R are false.
A letter is chosen at random from all the letters of the English alphabet. The probability that the letter chosen is a vowel is: (a) (b) (c) (d)
The letters A, D, M, N, O, S, U and Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter: (a) of the word MONDAY? (b) which does not appear in MONDAY? (c) which appears both in SUNDAY and MONDAY?
If A = , then A² is equal to: (a) (b) (c) (d)
Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of △DEF. Statement 2: The incentre of a triangle is the point where the bisectors of the angles intersect. (a) Both statements are true. (b) Both statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.
Mr Anuj deposits ₹500 per month for 18 months in a recurring deposit account at a certain rate. If he earns ₹570 as interest at the time of maturity, then his matured amount is: (a) ₹(500 × 18 + 570) (b) ₹(500 × 19 + 570) (c) ₹(500 × 18 × 19 + 570) (d) ₹(500 × 9 × 19 + 570)
The equation of the line passing through the origin and parallel to the line 3x + 4y + 7 = 0 is: (a) 3x + 4y + 5 = 0 (b) 4x − 3y − 5 = 0 (c) 4x − 3y = 0 (d) 3x + 4y = 0
The marked price of an article is ₹1,375. If CGST is charged at the rate of 4%, then the price of the article including GST is: (a) ₹55 (b) ₹110 (c) ₹1,430 (d) ₹1,485
