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 $\text{P}(\overline{\text{A}\cap\text{B}})+\text{P}(\overline{\text{A}}\cap\text{B})=$
  • A$\frac{1}{5}$
  • B$\frac{4}{5}$
  • C$\frac{1}{2}$
  • D$1$
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
    Choose the correct answer from the given four options.If $\text{P}(\text{A})=\frac{2}{5},\text{P}(\text{B})=\frac{3}{5}$ and $\text{P}(\text{A}\cap\text{B})=\frac{1}{5},$ then $\text{P}\Big(\frac{\text{A}'}{\text{B}'}\Big)\cdot\text{P}\Big(\frac{\text{B}'}{\text{A}'}\Big)$ is equas:
    View Solution
  • 2
    Mark the correct alternative in the following question:Which one is not a requirement of a binomial dstribution?
    View Solution
  • 3
    A letter is known to have come either from $\text{LONDON}$ or $\text{CLIFTON};$ on the postmark only the two consecutive letters $ON$ are ellegible. The probability that it came from $\text{LONDON}$ is:
    View Solution
  • 4
    Two events $A$ and $B$ will be independent, if
    View Solution
  • 5
    A bag contains 5 red and 3 blue balls are drawn at random without replacement, then the probability of getting exactly one red ball is.
    View Solution
  • 6
    Difference between sample space and subset of sample space is considered as:
    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 and B draw two cards each, one after another, from a pack of well-shuffled pack of 52 cards. The probability that all the four cards drawn are of the same suit is
    View Solution
  • 9
    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
  • 10
    A bag $X$ contains $2$ white and $3$ black balls and another bag $Y$ contains $4$ white and $2$ black balls. One bag is selected at random and a ball is drawn from it. Then, the probability chosen to be white is,
    View Solution