Guidelines

What is the PA and B if A and B are mutually exclusive?

by Author

What is the PA and B if A and B are mutually exclusive?

The probability of the intersection of Events A and B is denoted by P(A ∩ B). If Events A and B are mutually exclusive, P(A ∩ B) = 0.

How do I find my PA or not B?

P[not A or not B] = P(not A) + P(not B) – P(not A and not B) = 0.5 + 0.6 – 0.4 = 0.7 .

How do I find my PA and B Dependant?

If A and B are dependent events, then the probability of A happening AND the probability of B happening, given A, is P(A) × P(B after A).

READ ALSO:   How much does laser removal of facial hair cost?

How do you calculate PA and B to C?

To calculate the probability of the intersection of more than two events, the conditional probabilities of all of the preceding events must be considered. In the case of three events, A, B, and C, the probability of the intersection P(A and B and C) = P(A)P(B|A)P(C|A and B).

What is the formula of AUB?

The formula for the number of elements in A union B is n(A U B) = n(A) + n(B) – n(A ∩ B).

What is P AUB if A and B are independent?

If two events A and B are independent then, P(A n B)= P(A).P(B) P(A u B)= P(A)+P(B)-P(A n B) Since A and B are independent, so. P(A u B)= P(A)+P(B)-P(A).P(B)

What is PR B Pr B if A and B are independent events?

Pr(B|A)=Pr(A∩B)Pr(A)=13616=16=Pr(B). Thus A and B are independent. Alternatively, we can check independence by calculating Pr(A∩B)=136=16×16=Pr(A)×Pr(B)….Example.

Mutually exclusive events Independent event
If one occurs, the other cannot. Knowing that one occurs does not affect the probability of the other occurring.

What is the formula for dependent event?

Difference Between Independent and Dependent Events

READ ALSO:   What do you think are the main differences between upper class middle class and lower or working class people?
Dependent Events Independent Events
3. Formula can be written as: P(A and B) = P(A) × P(B | A) 3. Formula can be written as: P(A and B) = P(A) × P(B)

How do you know if events are dependent?

Independent Events

  1. Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur.
  2. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.

What is the Union formula?

Union is denoted by the symbol ∪ . The general probability addition rule for the union of two events states that P(A∪B)=P(A)+P(B)−P(A∩B) P ( A ∪ B ) = P ( A ) + P ( B ) − P ( A ∩ B ) , where A∩B A ∩ B is the intersection of the two sets.

What is P(A and B) = 0?

If two events A & B are mutually exclusive, irrespective of their individual probabilities, P(A AND B) = 0 as they have no element in common. The definition of ‘mutually exclusive’ is that if one event happens, the other cannot.

READ ALSO:   Are humans made of atoms of different elements?

What is the ratio of P(A) to P(B)?

Symbolically, P ( A ∪ B) = 1 − P ( A ¯ ∩ B ¯). and then noting that P ( A ∩ B) = P ( A) ⋅ P ( B) because A and B are independent. This is a perfectly reasonable approach to obtain the answer: 2/3.

What is the probability of P(A and B) if A and B?

As most of the answers have pointed out, P (A and B) is necessarily 0 if A and B are mutually exclusive. Because the definition of “mutually exclusive” actually MEANS that the probability of P (A and B) is 0!! However, I suspect the questioner really meant: What is the probability of A OR B if A and B are mutually exclusive?

What is 5/6 – 1/6 = 2/3?

The clue is the statement that A and B are independent. If events are independent then the intersection is the product of the two probabilities. So 5/6 – 1/6 = 2/3. Probability of union is P (A)+P (B)-P (intersection).