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Let the matrix M=[{:(x,y),(z,1):}] If x,...

Let the matrix `M=[{:(x,y),(z,1):}]` If x,y and z are chosen at random from the set {1.2.3}, and repetition is allowed (i.e.,x=y=z), what is the probability that the given matrix M is a singular matrix?

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FULL MARKS-INTRODUCTION TO PROBABILITY THEORY-ADDITIONAL PROBLEM
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  2. An experiment has the four possible mutually exclusive outcomes A, B, ...

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  3. Three coins are tossed together. Find the probability of getting exact...

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  4. A bag contains 5 white and 7 black balls,3 balls are drawn at random.F...

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  5. In a box containing 10 bulbs, 2 are defective. What is the probability...

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  6. Out of 10 outstanding students is a school there are 6 girls and 4 boy...

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  7. An integers is chosen at random from the first fifty positive integers...

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  8. A and B are two events associated with random experiment for which (P(...

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  9. Given P(A)=0.5 P(B)=0.6 and P(AnnB)=0.24. Find (i) P(A uuB) (ii) P(bar...

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  10. The probability of an event A occur is 0.6 and B occuring is 0.3. If A...

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  11. The probability that a new ship will get an award for its design is 0....

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  12. If P(A)=0.4 P(B)=0.7 and P(B//A)=0.5 find P(A//B) and P(A uuB)

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  13. P(A)=0.3 P(B)=0.6 and P(A nnB)=0.25. Find (i)n P(A uuB), (ii) P(A//B),...

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  14. Two cards are drawn by one at random from of 52 playing cars. What is ...

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  15. A husband and wife appear in an interview of vacancies in the same pos...

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  16. A factory has two Machines-I and II. Machines- produces 25% of items a...

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  17. There are two identical boxes containing respectively 5 white and 3 re...

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  18. In a factory Machine-I produces 45% of the output and Machine -II 55% ...

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