Match List I (Queries) with List II (Probability)
| List I | List II |
|---|---|
| (A) A bag contains 6 white and 4 red balls. Two balls are drawn at random. What is the chance they will be the same colour? | (I) 3/68 |
| (B) In a pack of 52 cards, one card is drawn at random. What is the probability that it is either a king or a queen? | (II) 14/68 |
| (C) A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability of 1 red and 2 white balls. | (III) 2/13 |
| (D) A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability of 2 blue and 1 red ball. | (IV) 7/15 |
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: D. (A)-(IV), (B)-(III), (C)-(I), (D)-(II)
Explanation
(A) [C(6,2) + C(4,2)] / C(10,2) = (15 + 6)/45 = 7/15 → IV. (B) 8/52 = 2/13 → III. (C) C(6,1)·C(4,2)/C(18,3) = 36/816 = 3/68 → I. (D) C(8,2)·C(6,1)/C(18,3) = 168/816 = 14/68 → II.More Discrete Structures and Optimisation questions
- Let G(V, E) be an undirected graph with l edges. Then the sum of the degrees of all vertices is equal to
- 40 software professionals were interviewed for a job. 25 knew PYTHON, 20 knew JAVA and 7 knew neither language. How many knew both language…
- Translate ∀x ∃y (x < y) into English, considering the domain as real numbers for both variables.
- What is the probability that a positive integer selected at random from the set of positive integers not exceeding 100 is divisible by eith…
- If the universe of discourse is all real numbers, which of the following are true? (A) ∃x ∀y (x + y = y) (B) ∀x ∀y (((x ≥ 0) ∧ (y < 0)) → (…
- If the universe of discourse is the set of integers, which of the following are TRUE? (A) ∀n ∃m (n² < m) (B) ∃n ∀m (n < m²) (C) ∃n ∀m (nm =…