Choose the correct answer from the given four options.
If the events A and B are independent, then $\text{P}(\text{A}\cap\text{B})$ is equal to:
  • A$\text{P}(\text{A})+\text{P}(\text{B})$
  • B$\text{P}(\text{A})-\text{P}(\text{B})$
  • C$\text{P}(\text{A})\cdot\text{P}(\text{B})$
  • D$\frac{\text{P}(\text{A})}{\text{P}(\text{B})}$
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
    A bag contain 4 white and 2 black balls. Two balls are drawn at random. The probability that they are of the same colour is ________.
    View Solution
  • 3
    If $\text{P(A)}=\frac{7}{13},\text{P(B)}=\frac{9}{13}$ and $\text{P}(\text{A}\cap\text{B})=\frac{4}{13}.$ then, $\text{P}(\overline{\text{A}}|\text{B})=$
    View Solution
  • 4
    Choose the correct answer from the given four options.
    If $\text{P}(\text{A})=\frac{3}{10},\text{P}(\text{B})=\frac{2}{5}$ and $\text{P}(\text{A}\cup\text{B})=\frac{3}{5},$ then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)+\text{P}\Big(\frac{\text{A}}{\text{B}}\Big)$ equas:
    View Solution
  • 5
    A fair die is tossed eight times. The probability that a third six is observed in the eight throw is:
    View Solution
  • 6
    Choose the correct answer from the given four options.If two events are independent, then:
    View Solution
  • 7
    If A and B are two events associated to a random experiment such that $\text{P}(\text{A}\cap\text{B})=\frac{7}{10}$ and $\text{P(B)}=\frac{17}{20}$, then P(A|B) =
    View Solution
  • 8
    If A and B are two events such that $\text{P(A)}=\frac{1}{2},\text{P(B)}=\frac{1}{3},\text{P}(\text{A}|\text{B})=\frac{1}{4},$ then $\text{P}(\overline{\text{A}}\cap\overline{\text{B}})$ equals.
    View Solution
  • 9
    For a binomial variate $X,$ if $\text{n}=3$ and $\text{P(X}=1)=8\text{ P(X = 3}),$ then $p =$
    View Solution
  • 10
    A flash light has 8 batteries out of which 3 are dead. IF two batteries are selected without replacement and tested, then the probability that both are dead is,
    View Solution