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  • probability - Not mutually exclusive Independent events - Mathematics . . .
    Not mutually exclusive events Example: if the chance of having diabetes is 10% and the chance of being obese is 30%, the chance of meeting someone who is obese or has diabetes or both is (0 1+0 3)-0 1x0 3=0 37 I have question: What is the difference between examples above?
  • Are non-mutually exclusive events always independent?
    Events that are not mutually exclusive can be dependent Example: drawing a King or a Heart from a deck of cards This is not a mutually exclusive event: if you draw a King, that doesn't rule out the fact that you haven't drawn a Heart
  • Example of non-mutually exclusive event using a coin
    These are not mutually exclusive: both occur if I get HT or TH They’re also not identical: if I get HH, A occurs but B doesn’t Each has probability $\frac34$ With a die: Event A: the number that comes up is even Event B: The number that comes up is $1,2$, or $3$ If I roll a $2$, both A and B occur, so they’re not mutually exclusive
  • statistics - Whats the difference between MUTUALLY EXCLUSIVE and . . .
    Two events are mutually exclusive if the probability of them both occurring is zero, that is if $\operatorname{Pr}(A \cap B) = 0$ With that definition, disjoint sets are necessarily mutually exclusive, but mutually exclusive events aren't necessarily disjoint Consider points in the square with each coordinate uniformly distributed from $0$ to
  • How to easily identify events that are not mutually exclusive?
    What evidence is there that can tell me that the two events are mutually exclusive other than seeing that their sum is greater than 1? In the question, it is stated that whether or not each component is broken is independent of each of the other components
  • What is the difference between independent and mutually exclusive events?
    Mutually exclusive event:- two events are mutually exclusive event when they cannot occur at the same time e g if we flip a coin it can only show a head OR a tail, not both
  • Mutually Exclusive Events (or not) - Mathematics Stack Exchange
    "Mutually exclusive" and "independent" do not mean the same thing: they are different "Mutually exclusive events are those that are not dependent upon one another, correct?" NO: Two events are mutually exclusive if they cannot both occur If we flip a coin, we get either a head, or a tail We cannot get both That is, the events are mutually
  • Mutually exclusive AND independent event (help with examples)
    Neither of these are examples of an event which is: mutual exclusion and independence One example: The flipping of a coin details an independent event (flip#1 does not affect flip#2) and a mutually exclusive event (can only be heads or can only be tails), and none of these events are impossible
  • probability - Example of two non-mutually exclusive events that are . . .
    The extreme example of a "non-mutually exclusive" set of events would be two mutually exclusive events Thus you can just take the event of flipping a head on the first flip of a freshly minted coin and flipping a tail on the first flip of a freshly minted coin; even though these have the same probability (assuming the coin is fair), the events are mutually exclusive, and thus dependent on
  • What is the meaning of mutually exclusive outcome in the classical . . .
    Also $\{a\}, \{b\}, \{c\}$, and $\{d\}$ are mutually exclusive And there are other examples using those four atomic events This gets a little bit trickier when the number of atomic events is infinite, even uncountably infinite, but the basic idea is the same: sets of events that don't intersect are mutually exclusive





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