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Test: Probability And Expected Value By Mathematical Expectation- 1


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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

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

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,

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 31

The limitations of the classical definition of probability

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 32

According to the statistical definition of probability, the probability of an event A is the

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 33

The Theorem of Compound Probability states that for any two events A and B.

Detailed Solution for Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 33

Correct Answer :- C

Explanation : If two events, A and B, are mutually exclusive, then the probability that either A or B occurs is the sum of their probabilities.

For mutually inclusive events, P (A or B) = P(A) + P(B) -  P(A and B).

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 34

If A and B are mutually exclusive events, then

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 35

If P(A–B) = P(B–A), then the two events A and B satisfy the condition

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 36

The number of conditions to be satisfied by three events A, B and C for independence is

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 37

If two events A and B are independent, then P(A ∩ B)

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 38

Values of a random variable are

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 39

Expected value of a random variable

Test: Probability And Expected Value By Mathematical Expectation- 1 - Question 40

If all the values taken by a random variable are equal then

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