QQuestion
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.
✓Answer
(b) A is false, R is true.
Explanation:
The complete sample space when a die is thrown is {1, 2, 3, 4, 5, 6}.
The favourable outcomes for an even number are {2, 4, 6}.
Number of favourable outcomes = 3
Total number of outcomes = 6
Probability of getting an even number = \frac{3}{6} = \frac{1}{2}
Therefore, the assertion is false, while the reason is true.
Related Questions
More ICSE Easy level questions
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)
Which of the following cannot be the probability of an event? (a) (b) 0.25 (c) (d) 67%
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.
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?
The following observations are arranged in ascending order: 27, 31, 46, 52, x, x + 4, 71, 79, 85, 90 If the median is 64, then the value of x is: (a) 60 (b) 61 (c) 62 (d) 66
The sum invested to purchase 15 shares of nominal value ₹75 each at a discount of 20% is: (a) ₹60 (b) ₹90 (c) ₹1350 (d) ₹900
The 7th term of the A.P. is: (a) (b) (c) (d)
If A = and A² = , then the value of x is: (a) 2 (b) 4 (c) 8 (d) 10
What must be subtracted from the polynomial x³ + x² − 2x + 1 so that the resulting polynomial is exactly divisible by (x − 3)? (a) −31 (b) −30 (c) 30 (d) 31
The roots of the equation px² − qx + r = 0 are real and equal if: (a) p² = 4qr (b) q² = 4pr (c) −q² = 4pr (d) p² > 4qr
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.
If A = , then A² is equal to: (a) (b) (c) (d)