Solved papers for JEE Main & Advanced AIEEE Solved Paper-2002

done AIEEE Solved Paper-2002 Total Questions - 6

• question_answer1) A problem in Mathematics is given to three students A, B, C and their respective probability of solving the problem is \[\frac{1}{2},\frac{1}{3}\] and \[\frac{1}{4}\]. Probability that the problem is solved, is   AIEEE  Solved  Paper-2002
  A)
  3/4            
  done clear
  B)
            1/2                            
  done clear
  C)
  2/3                            
  done clear
  D)
            1/3
  done clear
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• question_answer2) A and B play a game where each is asked to select a number from 1 to 25. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial, is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{1}{25}\]          
  done clear
  B)
                            \[\frac{24}{25}\]
  done clear
  C)
  \[\frac{2}{25}\]                    
  done clear
  D)
            None of these
  done clear
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• question_answer3) If A and B are two mutually exclusive events, then   AIEEE  Solved  Paper-2002
  A)
  \[P(A)<P(\overline{B})\]     
  done clear
  B)
           \[P(A)>P(\overline{B})\] 
  done clear
  C)
            \[P(A)<P(B)\]      
  done clear
  D)
           None of these
  done clear
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• question_answer4) The probability of India winning a test match against West-Indies is \[1/2\] assuming independence from match to match. The probability that in a match series India's second win occurs at the third test is
  A)
  \[1/8\]                    
  done clear
  B)
  \[1/4\]
  done clear
  C)
  \[1/2\]   
  done clear
  D)
            \[2/3\]
  done clear
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• question_answer5) A biased coin with probability \[p,0<p<1\], of heads is tossed until a head appears for the first time. If the probability that the number of tosses required is even, is \[2/5\], then p equals   AIEEE  Solved  Paper-2002
  A)
  \[1/3\]
  done clear
  B)
                            \[2/3\]                    
  done clear
  C)
            \[2/5\]    
  done clear
  D)
            \[3/5\]
  done clear
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• question_answer6) A fair die is tossed eight times. The probability that a third six is observed on the eighth throw, is   AIEEE  Solved  Paper-2002
  A)
  \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{7}}}\]           
  done clear
  B)
  \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{8}}}\]
  done clear
  C)
  \[\frac{^{7}{{C}_{2}}\times {{5}^{5}}}{{{6}^{6}}}\]          
  done clear
  D)
            None of these
  done clear
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