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The chance of a student passing an exam is 30% , the chance of a student passing the exam and getting above 80% marks in it is 10%, if it is given that a student has passed the examination, then find the probability that the student has secure more than 80% marks in the exam ?
1. 3/8
2. 1/3
3. 1/9
4. 1/8

A bag contains 5 black and 6 white balls; one balls are drawn at random. What is the probability that the balls drawn are black?
1. 6/11
2. 5/6
3. 5/11
4. 2/5

Person A can hit a target 4 times in 5 attempts. Person B – 3 times in four attempts. Person C – 2 times in 3 attempts. They fire a volley. The probability that the target is hit atleast two times is


1. 3/4
2. 1/2
3. 5/6
4. 1

A dice is thrown, find the probability of getting a number which is exactly divisible by 2.
1. 2/3
2. 1/2
3. 1/3
4. 1/4

If two dice are thrown simultaneously then find the probability that the sum of the numbers coming up on them is 11, given that the number 5 always occurs on the first dice.
1. 1/3
2. 1/36
3. 1/12
4. 1/6

Let A and B be two events such that \(\rm P\left( \overline{A\cup B} \right)=\frac{1}{6}\)\(\rm P\left( A\cap B \right)=\frac{1}{4}\) and \(\rm P\left( \overline{A} \right)=\frac{1}{4}\), where A̅ is the complementary event of A. Then A and B are:


1. Equally likely but not independent.
2. Equally likely and mutually exclusive.
3. Mutually exclusive and independent.
4. Independent but not equally likely.

A bag has 10 red balls, 5 green balls and ‘x’ yellow balls. If the probability of drawing 2 red balls from the bag is 13/57 more than the probability of drawing 2 yellow balls then find total balls in the bag?
1. 15
2. 25
3. 20
4. 19
5. 30

1/5th of cistern can be emptied in 2 hours.  Calculate what percentage of tank was filled if it takes 6 hours to empty that amount of tank
1. 25% 
2. 60%
3. 50%
4. 40%
5. 45%

Two fair dice are rolled. What is the probability that the total score is a prime number?
1. \(\dfrac{1}{6}\)
2. \(\dfrac{5}{12}\)
3. \(\dfrac{1}{2}\)
4. \(\dfrac{7}{9}\)

A random variable X has the distribution law as given below:

X

1

2

3

P(X = x)

0.3

0.4

0.3


The variance of the distribution is:


1. 0.4
2. 0.6
3. 0.2
4. None of these

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