Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is (A) `3/5` (B) `1/5` (C) `2/5` (D) `4/5`

Probability that A speaks truth is 4/5 . A coin is tossed. A reports that a head appears. The probability that actually there was head is (A) 4/5 (B) 1/2 (C) 1/5 (D) 2/5

Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is (a) 1/15 (b) 14/15 (c) 1/5 (d) 4/5

Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral is (a) 1/2 (b) 1/5 (c) 1/10 (d) 1/20

A bag contains 3 red balls and 5 black balls. A ball is selected at random from the bag. What is the probability that the ball selected is (i) red ? (ii) not red?

Mean and variance of five observations are 4 and 5.2 respectively. If three of these observations are 3, 4, 4 then find absolute difference between the other two observations (A) 3 (B) 7 (C) 2 (D) 5

The probability of winning a race by three persons A ,B , and C are 1/2, 1/4 and 1/4 , respectively. They run two races. The probability of A winning the second race when B , wins the first race is (A) 1/3 (B) 1/2 (C) 1/4 (D) 2/3

A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there will be remainder is 14//19 b. 5//19 c. 5//6 d. 7//15

The probability that a marksman will hit a target is given is 1/5. Then the probability that at least once hit in 10 shots is a. 1-(4//5)^(10) b. 1//5^(10) c. 1-(1//5)^(10) d. (4//5)^(10)