If $\text{P(B)}=\frac{3}{5},\text{P}(\text{A}|\text{B})=\frac{1}{2}$ and $\text{P}(\text{A}\cup\text{B})=\frac{4}{5},$ then $\text{P}(\text{B}|\overline{\text{A}})=$
  • A$\frac{1}{5}$
  • B$\frac{3}{10}$
  • C$\frac{1}{2}$
  • D$\frac{1}{2}$
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    If A and B are such that $\text{P}(\text{A}\cup\text{B})=\frac{5}{9}$ and $\text{P}(\overline{\text{A}}\cup\overline{\text{B}})=\frac{2}{3},$ then $\text{P}(\overline{\text{A}})+\text{P}(\overline{\text{B}})=$
    View Solution
  • 2
    If A and B are two events such that $\text{P}(\text{A}|\text{B})=\text{p},\text{P(A)}=\text{p},\text{P(B)}=\frac{1}{3}$ and $\text{P}(\text{A}\cup\text{B})=\frac{5}{9},$ then p =
    View Solution
  • 3
    Choose the correct answer in each of the following:
    The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is
    View Solution
  • 4
    Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is
    View Solution
  • 5
    The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
    View Solution
  • 6
    A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one iten is chosen ar random, the probability that it is rusted or is nail is
    View Solution
  • 7
    Let $X$ denote the number of times heads occur in $n$ tosses of a fair coin. If $P(X = 4), P(X = 5)$ and $P(X = 6)$ are in $AP,$ the value of $n$ is:
    View Solution
  • 8
    A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that these are of the sane colour is.
    View Solution
  • 9
    The probability that a leap year will have 53 fridays or 53 Saturdays is.
    View Solution
  • 10
    A coin is tossed three times. If events A and B are defined as A = Two heads come, B = Last should be head, Then, A and B are
    View Solution