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Consider the system of equations ax + by...

Consider the system of equations ax + by = 0; cx + dy = 0, where `a, b, c, d in {0,1}`)STATEMENT-1: The probability that the system of equations has a unique solution is 3/8 STATEMENT-2: The probability that the system of equations has a solution is 1

A

Statement -1 is true , Statement -2 is true, Statement -2 is a correct explanation for Statement -1.

B

Statement -1 is true , Statement -2 is true, Statement -2 is not a correct explanation for Statement -1.

C

Statement -1 is true , Statement -2 is false.

D

Statement-1 is false, Statement-2 is true

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two aeroplanes I and II bomb a target in succession. The probabilit...

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  2. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

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  3. Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...

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  4. A die is thrown. Let A be the event that the number obtained is gre...

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  5. It is given that the events A and B are such that P(A)=(1)/(4),P((A)/(...

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  6. A fair die is tossed repeatedly until a six is obtained Let X denote t...

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  7. A fair die is tossed repeated until a six is obtained. Let X denote th...

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  8. A fair die is tossed repeatedly until a six obtained. Let X denote the...

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  9. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

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  10. One ticket is selected at random from 50 tickets numbered 00, 01, 0...

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  11. Let omega be a complex cube root unity with omega!=1. A fair die is th...

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  12. A signal which can be green or red with probability 4/5 and 1/5 respec...

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  13. Four numbers are chosen at random (without replacement) from the set ...

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  14. An urn contains nine balls of which three are red, four are blue and t...

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  15. Let U1 , and U2, be two urns such that U1, contains 3 white and 2 red ...

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  16. Given that the drawn ball from U2 is white, the probability that head ...

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  17. Let Ea n dF be tow independent events. The probability that exactly on...

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  18. Consider 5 independent Bernoulli.s trials each with probability of ...

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  19. If C and D are two events such that CsubD""a n d""P(D)!=0 , then the c...

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  20. Let A, B, C be pariwise independent events with P(C) >0 and P(AnnBnnC)...

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