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Test: Probability And Expected Value By Mathematical Expectation- 6 - CA Foundation MCQ


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30 Questions MCQ Test - Test: Probability And Expected Value By Mathematical Expectation- 6

Test: Probability And Expected Value By Mathematical Expectation- 6 for CA Foundation 2024 is part of CA Foundation preparation. The Test: Probability And Expected Value By Mathematical Expectation- 6 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Probability And Expected Value By Mathematical Expectation- 6 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- 6 below.
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Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 1

The probability of winning of a person is 6/11 and at a result he gets Rs.77/= .The expectation of this person is

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Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 2

A family has 2 children. The probability that both of them are boys if it is known that one of them is a boy

Detailed Solution for Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 2

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

The Probability of the occurrence of a no. greater then 2 in a throw of a die if it is known that only even nos. can occur is

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

Total events are 6
Possibility of Greater than 2 is 4 i.e. 3, 4, 5, 6
Hence, Probability of the occurrence of a no. greater then 2 will be 4/6

=2/3

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 4

A player has 7 cards in hand of which 5 are red and of these five 2 are kings. A card is drawn at random. The probability that it is a king, it being known that it is red is

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 5

In a class 40 % students read Mathematics, 25 % Biology and 15 % both Mathematics and Biology. One student is select at random. The probability that he reads Mathematics if it is known that he reads Biology is

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

In a class 40 % students read Mathematics, 25 % Biology and 15 % both Mathematics and Biology. One student is select at random.The probability that he reads Biology if he reads Mathematics

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 7

Probability of throwing an odd no with an ordinary six faced die is

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 8

For a certain event A ,P (A) is equal to

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 9

When none of the outcomes is favourable to the event then the event is said to be

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 10

The probability of selecting sample of size 'n' out of a population of size N by simple random sampling with replacement is:

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 11

 If P(A) = 0.45, P(B) = 0.35 and P(A &  B) = 0.25, then P(A/B)=?

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Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 12

Find the probability of drawing a spade on each of two consecutive draws from a well shuffled pack of cards, without replacement

Detailed Solution for Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 12

in a pack of card there are total  52 Cards

Spade cards  are   13  

Probability that two consecutive cards drawn  from a well shuffled pack of cards are spade = ¹³C₂ / ⁵²C₂  

= 13 * 12 / 52 * 51

= 12 / 4 * 51

= 3/51

= 1/17

 

other ways

probability of Choosing 1st card as spade = (13/52) = 1/4

Probability of choosing 2nd spade card = 12/51  = 4/17

 

(1/4)(4/17)  = 1/17

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 13

If a pair of dice is thrown then the probability that the sum of the digit is neither 7 nor 11 is _____.

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 14

 A player tosses 3 fair coins. He wins Rs.5 if three appear, Rs.3 if two heads appear, Rs.1 if one head occurs. On the other hand, he losses Rs.15 if 3 tails occur. Find expected gain of the player.

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 15

The probability of a cricket term winning match at Kanpur is 2/5 and hosing match at Delhi is 1/7 what is the Probability of the term winning atleast one match?

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 16

Two coins are tossed simultaneously. Find the probability of getting exactly one head.

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 17

For any two events A1, A2 letP(A1) = 2/3,P(A2) = 3/8 and P(A1 ∩ A2) =1/4 then A1, Aare:  

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 18

Find the expected value of the following probability distribution

1/20

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 19

The odds against A solving a certain problem are 4 to 3 and the odds in favour of B solving the same problem are 7 to 5. What is the probability that the problem will be solved if they both try?

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 20

A box contains 2 red, 3 green and 2 blue balls. Two bails are drawn at random. What is the probability that none of the balls drawn is blue?

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 21

The odds that a book will be favourable received by 3 independent received by 3 independent reviewers are 5 to 2, 4 to 3 and 4 to 4 respectively. What is the probability that out of 3 reviewers a majority will be favourable?

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 22

An urn contains 2 red and 1 green balls. nother urn contains 2 red and 2 green balls. An urn was selected at random and then a ball was drawn from it. If it was found to be red then the probability that it has been drawn from urn one is ______.

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 23

 Find the expected value of the following probability distribution 

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 24

A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball form the bag is twice that of a red ball, find the number of blue balls in the bag

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Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 25

A company employed 7 CA's, 6 MBA's and 3 Engineer's. In how many ways the company can form a committe, if the committee has  two members of each type.

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 26

In a packet of 500 pens, 50 are found to be defective. A pen is selected at random. Find the probability that it is non defective.

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 27

A bag contains 5 Red balls, 4 Blue Balls and 'm' Green Balls. If the random probability of picking two green balls is 1/7. What is the no. of green Balls (m).

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 28

Four married couples have gathered in a room. Two persons are selected at random amongst them, find the probability that selected persons are a gentleman and a lady but not a Couple.

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 29

The odds against A solving a certain problem are 4 to 3 and the odds in favour of B solving the same problem are 7 to 5. What is the probability that the problem will be solved if they both try?

Test: Probability And Expected Value By Mathematical Expectation- 6 - Question 30

 One Card is drawn from pack of 52, what is the probability that it is a king or a queen?

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