Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Probability question

2005 · Shift 0 · Q89
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Probability
  5. /2005 · Shift 0 · Q89

Probability question

2005 · Shift 0 · Q89

JEE MainMathematicsProbabilityMCQ+4 / −1
Let AAA and BBB two events such that P(A∪B‾)=16,P(A∩B)=14P\left( {\overline {A \cup B} } \right) = {1 \over 6},P\left( {A \cap B} \right) = {1 \over 4}P(A∪B)=61​,P(A∩B)=41​ and P(A‾)=14,P\left( {\overline A } \right) = {1 \over 4},P(A)=41​, where A‾{\overline A }A stands for complement of event AAA. Then events AAA and BBB are :
  1. A
    equally likely and mutually exclusive
  2. B
    equally likely but not independent
  3. C
    independent but not equally likely
  4. D
    mutually exclusive and independent
PreviousNext

More from Probability

  • The probability that A speaks truth is 54​, while the probability for B is 43​. The probability that they contradict each other when asked to speak on a fact is :2004 · MCQ
  • Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is :2003 · MCQ
  • Events A,B,C are mutually exclusive events such that P(A)=33x+1​,P(B)=41−x​ and P(C)=21−2x​ The set of possible values of x are in the interval.2003 · MCQ
  • A problem in mathematics is given to three students A,B,C and their respective probability of solving the problem is 21​,31​ and 41​. Probability that the problem is solved is :2002 · MCQ
  • A and B are events such that P(A∪B)=3/4, P(A∩B)=1/4,P(A)=2/3 then P(A∩B) is :2002 · MCQ
  • Three distinct numbers are selected randomly from the set {1,2,3,…,40}. If the probability, that the selected numbers are in an increasing G.P., is nm​,gcd(m,n)=1, then m+n is equal to ​…2025 · Numerical
  •  Given three indentical bags each containing 10 balls, whose colours are as follows :  Bag I  Bag II  Bag III ​ Red 345​ Blue 231​ Green 534​…2025 · MCQ
  • If the probability that the random variable X takes the value x is given by P(X=x)=k(x+1)3−x,x=0,1,2,3…, where k is a constant, then P(X≥3) is equal to2025 · MCQ