Multiply the possible outcomes of the events in the disjoint events
The good real life example is the box of toys and the box of food. Imagine letting A be the box of toys and B be the box of food. Then, the intersection of those sets is empty.The example of disjoint set in mathematics is as followed:Let A = {1,2} and B = {3}. Then, A ∩ B = ∅
a and b both have the probability of 3/4
Two sets are said to be "disjoint" if they have no common element - their intersection is the empty set. As far as I know, "joint" is NOT used in the sense of the opposite of disjoint, i.e., "not disjoint".
Disjoint sets are sets whose intersection, denoted by an inverted U), produces the null or the empty set. If a set is not disjoint, then it is called joint. [ex. M= {1,2,A} N = {4,5,B}. S intersection D is a null set, so M and N are disjoint sets.
If two events are disjoint, they cannot occur at the same time. For example, if you flip a coin, you cannot get heads AND tails. Since A and B are disjoint, P(A and B) = 0 If A and B were independent, then P(A and B) = 0.4*0.5=0.2. For example, the chances you throw a dice and it lands on 1 AND the chances you flip a coin and it land on heads. These events are independent...the outcome of one event does not affect the outcome of the other.
Multiply the possible outcomes of the events in the disjoint events
If they're disjoint events: P(A and B) = P(A) + P(B) Generally: P(A and B) = P(A) + P(B) - P(A|B)
Not necessarily. For a counterexample, A and C could be the same set.
In probability theory, disjoint events are two (or more) events where more than one cannot occur in the same trial. It is possible that none of them occur in a particular trial.
The union of two disjoint sets is the combination of all elements contained in both sets. Since A and B are disjoint, their union will contain all elements from A and B without repetition. Thus, the union of A and B will contain 5 + 7 = 12 elements.
P(A given B')=[P(A)-P(AnB)]/[1-P(B)].In words: Probability of A given B compliment is equal to the Probability of A minus the Probability of A intersect B, divided by 1 minus the probability of B.
It means multiply, Probaility of A and B means probability of A multiplied by probability of B.
Given two events, A and B, the probability of A or B is the probability of occurrence of only A, or only B or both. In mathematical terms: Prob(A or B) = Prob(A) + Prob(B) - Prob(A and B).
The good real life example is the box of toys and the box of food. Imagine letting A be the box of toys and B be the box of food. Then, the intersection of those sets is empty.The example of disjoint set in mathematics is as followed:Let A = {1,2} and B = {3}. Then, A ∩ B = ∅
The probability is 1/b.
a and b both have the probability of 3/4