Event _____________ contains elements which are present in both A as well as B.

The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect.
Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa.
Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct while Statement II is incorrect

D

Statement I is incorrect while Statement II is correct

(i) Why do we remember May Day? (ii) What significant changes happened due to that event? (iii) How did the event happen? (iv) What can be done in present day as a result of that event ? (v) Mention the moral of that event.

A

(i) We remember May day as it reminds us about the historic struggle of working people throughout the world

B

(II) All the fortunate workers enjoy today-a minimum wage, safety laws and 8 hour workday due to that event.

C

(iii) Police fired into a crowd of strikers at the McCormick arvest Machine Company, Chicago, killing at least one striker, seriously wounding five or six others and injuring an undetermined number.

D

(iv) The events of May day 1886 is a remind that workers will continue to be subjugated until they stand up and speak out to gain better working conditions, better pay and better lives.

E

(V) Workers will not be ever down in term of their right. (All)

Mobile genetic elements present in human genome are
P. Long interspersed elements (LINEs)
Q. Short interspersed elements (SINEs)
R. P elements
S. IS elements

A

Q, R

B

P, Q

C

P, R

D

Q, S

Which of the following phrases (i),(ii), and (iii) given below each sentenceshould replace the phrase printed in boldletters to make the sentence grammaticallycorrect? Choose the best option among thefive given alternatives that reflect the correctuse of phrase in the context of thegrammatically correct sentence. If thesentence is correct as it is, mark (E) i.e., "Nocorrection required" as the answer
"I need you to give me a ballparks worth
of figures of how much this event is
going to cost us in the next two months."
i. give me a ballpark figure of how much this
event is going to cost
ii. give me the biggest ballpark of your figure,
how much this event is going to cost
iii. give me a ballpark figure of how much this
event is coming to cost

A

A. Only i

B

B. Only ii

C

C. Only iii

D

D. ii and iii

If 6 years are subtracted from the present age of Ayush and takes 25% of that then we get the present age of his only son. 4 years ago, his daughters age is 7 years more than his son. Sum of daughters present age and his wifes present age is 10 years more than Ayushs present age then find the present age of Ayush if average of present age of entire family is 30.25 yr?

A

\45 year\

B

\50 year\

C

\60 year\

D

\40 year\

Read the following information and answer the questions given below: A has 28 elements, B has 32 elements and A U B has 40 elements. How many elements are present only in B?

A

28

B

18

C

12

D

10

If set A has 10 elements, set B has 20 elements, 5 elements are common to both then find the number of elements in X∪Y.

A

10

B

15

C

20

D

25

Event _____________ contains elements which are present in A and absent in B.

A

A or B

B

A and B

C

A but not B

D

B but not A

Event _____________ contains elements which are present in B and absent in A.

A

A or B

B

A and B

C

A but not B

D

B but not A

Event _____________ contains elements which are either in A or in B or in both.

A

A or B

B

A and B

C

A but not B

D

B but not A

Event _____________ contains elements which are present in both A as well as B.

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