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Test: Probability And Expected Value By Mathematical Expectation- 1 - CA Foundation MCQ


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30 Questions MCQ Test Quantitative Aptitude for CA Foundation - Test: Probability And Expected Value By Mathematical Expectation- 1

Test: Probability And Expected Value By Mathematical Expectation- 1 for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation. The Test: Probability And Expected Value By Mathematical Expectation- 1 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Probability And Expected Value By Mathematical Expectation- 1 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- 1 below.
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Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 1

Initially, probability was a branch of

Detailed Solution for Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 1

Probability theory is the branch of Mathematics concerned with analysis of random phenomena. 

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 2

Two broad divisions of probability are

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Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 3

Subjective probability may be used in

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 4

An experiment is known to be random if the results of the experiment

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 5

An event that can be split into further events is known as

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 6

Which of the following pairs of events are mutually exclusive?

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 7

If P(A) = P(B), then

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 8

If P(A ∩ B) = 0, then the two events A and B are

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 9

If for two events A and B, P(AUB) = 1, then A and B are

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 10

If an unbiased coin is tossed once, then the two events Head and Tail are

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 11

If P(A) = P(B), then the two events A and B are

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 12

If for two events A and B, P(A ∩ B) ≠ P(A) × P(B), then the two events A and B are

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 13

If P(A/B) = P(A), then

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 14

If two events A and B are independent, then

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 15

If two events A and B are independent, then

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 16

If two events A and B are mutually exclusive, then

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 17

If a coin is tossed twice, then the events 'occurrence of one head', 'occurrence of 2 heads' and 'occurrence of no head' are

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 18

The probability of an event can assume any value between

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 19

If P(A) = 0, then the event A

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 20

If P(A) = 1, then the event A is known as

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 21

If p : q are the odds in favour of an event, then the probability of that event is

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 22

If P(A) = 5/9, then the odds against the event A is

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 23

If A, B and C are mutually exclusive and exhaustive events, then P(A) + P(B) + P(C) equals to

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 24

If A denotes that a student reads in a school and B denotes that he plays cricket, then

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 25

P(B/A) is defined only when

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 26

P(A/B') is defined only when

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 27

For two events A and B, P(A ∪ B) = P(A) + P(B) only when

Detailed Solution for Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 27

Definition: Two events are mutually exclusive (or disjoint) if they cannot occur at the same time. In other words, the occurrence of one event excludes the possibility of the other event occurring.
Hence, the intersection of both the events must be zero.
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
and as the intersection is 0 in mutually exclusive events 
P(A ∪ B) = P(A) + P(B)

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 28

Addition Theorem of Probability states that for any two events A and B,

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 29

For any two events A and B,

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 30

For any two events A and B,

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