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
View Answer play_arrowquestion_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
View Answer play_arrowquestion_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
View Answer play_arrowquestion_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
View Answer play_arrowquestion_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
View Answer play_arrowquestion_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
View Answer play_arrow
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