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Test: Probability And Expected Value By Mathematical Expectation- 3 - CA Foundation MCQ


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30 Questions MCQ Test - Test: Probability And Expected Value By Mathematical Expectation- 3

Test: Probability And Expected Value By Mathematical Expectation- 3 for CA Foundation 2024 is part of CA Foundation preparation. The Test: Probability And Expected Value By Mathematical Expectation- 3 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Probability And Expected Value By Mathematical Expectation- 3 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Probability And Expected Value By Mathematical Expectation- 3 below.
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Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 1

(Direction 1 - 22) Write down the correct answers. Each question carries 5 marks.

Q. If two unbiased dice are rolled, what is the probability of getting points neither 6 nor 9?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 2

What is the probability that 4 children selected at random would have different birthdays?

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Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 3

A box contains 5 white and 7 black balls. Two successive drawn of 3 balls are made (i) with replacement (ii) without replacement. The probability that the first draw would produce white balls and the second draw would produce black balls are respectively

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 4

There are three boxes with the following composition:

Box I: 5 Red + 7 White + 6 Blue balls

Box II: 4 Red + 8 White + 6 Blue balls

Box III: 3 Red + 4 White + 2 Blue balls

If one ball is drawn at random, then what is the probability that they would be of same colour?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 5

A number is selected at random from the first 1000 natural numbers. What is the probability that the number so selected would be a multiple of 7 or 11?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 6

A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will produce 3 white balls and the second 3 red balls is

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 7

There are two boxes containing 5 white and 6 blue balls and 3 white and 7 blue balls respectively. If one of the the boxes is selected at random and a ball is drawn from it, then the probability that the ball is blue is

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 8

A problem in probability was given to three CA students A, B and C whose chances of solving it are 1/3, 1/5 and 1/2 respectively. What is the probability that the problem would be solved?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 9

There are three persons aged 60, 65 and 70 years old. The survivals probabilities for these three persons for another 5 years are 0.7, 0.4 and 0.2 respectively. What is the probability that at least two of them would survive another five years?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 10

​Tom speaks truth in 30 percent cases and Dick speaks truth in 25 percent cases. What is the probability that they would contradict each other?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 11

There are two urns. The first urn contains 3 red and 5 white balls whereas the second urn contains 4 red and 6 white balls. A ball is taken at random from the first urn and is transferred to the second urn. Now another ball is selected at random from the second arm. The probability that the second ball would be red is

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 12

For a group of students, 30 %, 40% and 50% failed in Physics , Chemistry and at least one of the two subjects respectively. If an examinee is selected at random, what is the probability that he passed in Physics if it is known that he failed in Chemistry?

Detailed Solution for Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 12

Let the total number of students = 100

Number of students failed in physics = 30% of 100 =30

Number of students failed in chemistry = 40% of 100 =40

Number of students failed at least one of the two subjects = 50% of 100 =50

We need to calculate

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 13

A packet of 10 electronic components is known to include 2 defectives. If a sample of 4 components is selected at random from the packet, what is the probability that the sample does not contain more than 1 defective?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 14

8 identical balls are placed at random in three bags. What is the probability that the first bag will contain 3 balls?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 15

X and Y stand in a line with 6 other people. What is the probability that there are 3 persons between them?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 16

Given that P (A) = 1/2, P (B) = 1/3, P (A ∩ B) = 1/4, what is P (A’/B’)

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 17

Four digits 1, 2, 4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 18

The probability distribution of a random variable x is given below:

 

Q. What is the standard deviation of x? 

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 19

A packet of 10 electronic components is known to include 3 defectives. If 4 components are selected from the packet at random, what is the expected value of the number of defective?

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 20

The probability that there is at least one error in an account statement prepared by 3 persons A, B and C are 0.2, 0.3 and 0.1 respectively. If A, B and C prepare 60, 70 and 90 such statements, then the expected number of correct statements

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 21

A bag contains 6 white and 4 red balls. If a person draws 2 balls and receives Rs.10 and Rs.20 for a white and red balls respectively, then his expected amount is

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 22

The probability distribution of a random variable is as follows:

 

Q. The variance of x is 

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 23

All possible outcomes of a random experiment forms the

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 24

If one of outcomes cannot be expected to occur in preference to the other in an experiment the events are

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 25

If two events cannot occur simultaneously in the same trial then they are

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 26

When the no. of cases favourable to the event A=0 then P(A) is equal to

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 27

A card is drawn from a well-shuffled pack of playing cards. The probability that it is a spade is

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 28

A card is drawn from a well-shuffled pack of playing cards. The probability that it is a king is

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 29

A card is drawn from a well-shuffled pack of playing cards. The probability that it is the ace of clubs is

Test: Probability And Expected Value By Mathematical Expectation- 3 - Question 30

In a single throw with two dice the probability of getting a sum of five on the two dice is

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