MHB Mutually Exclusive Probabilities: A vs. B

  • Thread starter Thread starter Dobie5
  • Start date Start date
  • Tags Tags
    Probabilities
Click For Summary
For events A and B to be mutually exclusive, the sum of their probabilities must equal the probability of their union. Given that the probability of A is 0.3 and B is 0.8, the total probability would be 1.1, which exceeds 1. Therefore, A and B cannot be mutually exclusive. The confusion arises from misunderstanding the definition of mutually exclusive events. In this case, it is clear that A and B cannot occur simultaneously.
Dobie5
Messages
1
Reaction score
0
Hey everyone. Question! If the probability of A is .3 and the probability of B is .8, can A and. B be mutually exclusive? This is confusing me!
 
Mathematics news on Phys.org
They can be mutually exclusive if $\displaystyle P(A\cup B) = P(A)+P(B)$

In your case I don't like the chances!
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Confused About Mutual Exclusivity with More Than Two Events
  • · Replies 13 ·
Replies
13
Views
4K
Undergrad Can E1 and E2 be both independent and mutually exclusive events?
  • · Replies 5 ·
Replies
5
Views
1K
MHB What value of p makes A and B mutually exclusive events?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Find P((A∪B)'): Mutually Excl. & P(A)=P(B) = 1/5
  • · Replies 6 ·
Replies
6
Views
3K
MHB Probability Question with Mutually Exclusive and Indpendent Events
  • · Replies 1 ·
Replies
1
Views
2K
MHB Probability using the complement rule
  • · Replies 1 ·
Replies
1
Views
2K
MHB What Is the Probability of Drawing Specific Ball Colors from a Bag?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Do bosons contradict basic probability laws?
  • · Replies 108 ·
4
Replies
108
Views
7K
MHB Pb.20 What is the probability that Hiroko....will be chosen
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Calculating Probability of Drawing Card Combos: A Closer Look at Counting
  • · Replies 9 ·
Replies
9
Views
2K