Probability

Subdecks (2)

Cards (15)

  • If A and B are mutually exclusive:

    P(AB)P\left(A\cap B\right) = 0
    P(AB)P\left(A\cup B\right) = P(A) +P\left(A\right)\ + P(B)\ P\left(B\right)
  • If A and B are independent:

    P(AB)P\left(A\cap B\right) = P(A) ×P(B)P\left(A\right)\ \times P\left(B\right)
    P(AB)P(A|B) = P(A)P\left(A\right)
  • What can't you tell from a venn diagram?
    independence
  • What's the probability of the labelled area in this venn diagram?
    A) P(B|a)
  • What's the addition law?

    P(A B)P\left(A\ \cup B\right) = P(A) +P\left(A\right)\ + P(B)  P(A B)\ P\left(B\right)\ -\ P\left(A\ \cap B\right)
  • In conditional probability:
    P(AB)=P(A∣B)= P(AB)P(B)\frac{P\left(A\cap B\right)}{P\left(B\right)}