The events A andB have probabilities 0.25 and 0.50, respectively. The probability that both A and B occur simultaneously is 0.14, then the probability that neither A nor B occurs, is

• 0.39

• 0.29

• 0.11

• 0.25

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the probability that it is a black or a red ball, is

• $\frac{1}{3}$

• $\frac{1}{4}$

• $\frac{5}{12}$

• $\frac{2}{3}$

The probability of getting qualified in IITJEE and EAMCET by a student are respectively $\frac{1}{5} \mathrm{and} \frac{3}{5}$. The probability that the student gets qualified for atleast one of these test, is

• $\frac{3}{25}$

• $\frac{8}{25}$

• $\frac{17}{25}$

• $\frac{22}{25}$

One die and a coin (both unbiased) are tossed simultaneously. The probability of getting 5 on the top of the die and tail on the coin is

• $\frac{1}{2}$

• $\frac{1}{12}$

• $\frac{1}{6}$

• $\frac{1}{8}$

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ballis drawn from it. Then, the probability for the ball chosen be white, is :

• $\frac{2}{15}$

• $\frac{7}{15}$

• $\frac{8}{15}$

• $\frac{14}{15}$

76.

A random variate X takes the values 0, 1, 2, 3 and its mean is 1.3. If P(X = 3) = 2P(X = 1) and P(X = 2) = 0.3, then P(X = 0) is equal to :

• 0.1

• 0.2

• 0.3

• 0.4

An unbiased coin is tossed to get 2 points forturning up a head and one point for the tail.If three unbiased coins are tossed simultaneously, then the probability of getting a total of odd number of points is

• $\frac{1}{2}$

• $\frac{1}{4}$

• $\frac{1}{8}$

• $\frac{3}{8}$

Suppose E and F are two events of a random experiment. If the probability of occurrence of E is 1/5 and the probability of occurrence of F given E is 1/10, then the probability of non-occurrence of atleast one of the events E and F is

• $\frac{1}{18}$

• $\frac{1}{2}$

• $\frac{49}{50}$

• $\frac{1}{50}$

Six faces of an unbiased die are numbered with 2, 3, 5, 7, 11 and 13. If two such dice are thrown, then the probability that the sum on the upper most faces of the dice is an odd number is

• $\frac{5}{18}$

• $\frac{5}{36}$

• $\frac{13}{18}$

• $\frac{25}{36}$

A person who tosses an unbiased coin gains two points for turning up a head and loses one point for a tail. If three coins are tossed and the total score X is observed, then the range of x is

• {0, 3, 6}

• {- 3, 0, 3}

• {- 3, 0, 3, 6}

• {- 3, 3, 6}