A. 5/21
B. 5/14
C. 9/14
D. 16/21
Explanation:
Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)
As remaining person can be any one among three couples left.
Required probability = (⁵C₂ * ⁶C₁)/¹⁰C₅
= (10 * 6)/252 = 5/21
Related Mcqs:
- If a number is chosen at random from the set {1, 2, 3, …., 100}, then the probability that the chosen number is a perfect cube is___________?
A. 1/25
B. 1/2
C. 4/13
D. 1/10 - A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good.
A. 6/63
B. 2/63
C. 125/126
D. 1/126 - A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
A. 62/63
B. 125/126
C. 1/63
D. 1/126 - Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is_________?
A. 10/17
B. 10/19
C. 46/105
D. Cannot be determined - A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?
A. 25/42
B. 9/20
C. 10/23
D. 41/42 - The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?
A. 0.4869
B. 0.5904
C. 0.6234
D. 0.5834 - The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?
A. 21/25
B. 17/25
C. 4/25
D. 8/25 - Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is_____________?
A. 1/2
B. 16/19
C. 4/5
D. 17/20 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
A. 17/91
B. 33/91
C. 51/91
D. 65/91 - A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A. 1/455
B. 2/455
C. 1/91
D. 4/455
