Addition Rule for Mutually Exclusive Events
When do we use the addition rule?
If we want to calculate the probability of event A occurring or event B occurring, taking into account that they are mutually exclusive, we use the addition rule.
Formula:
P(A or B) = P(A) + P(B)
, where
P(A or B)
- the probability of event A occurring or event B occurring,P(A)
- the probability of event A occurringP(B)
- the probability of event B occurring
Task example:
The basket has 12
green balls, 30
red balls, and 18
yellow balls. What is the probability of taking a green or red ball?
P(green)
= 12/60 = 0.2 = 20%P(red)
= 30/60 = 0.5 = 50%P(green or red)
= P(green) + P(red) = 20% + 50% = 70%.
Thanks for your feedback!
Ask AI
Ask AI
Ask anything or try one of the suggested questions to begin our chat
Ask me questions about this topic
Summarize this chapter
Show real-world examples
Awesome!
Completion rate improved to 3.7
Addition Rule for Mutually Exclusive Events
Swipe to show menu
When do we use the addition rule?
If we want to calculate the probability of event A occurring or event B occurring, taking into account that they are mutually exclusive, we use the addition rule.
Formula:
P(A or B) = P(A) + P(B)
, where
P(A or B)
- the probability of event A occurring or event B occurring,P(A)
- the probability of event A occurringP(B)
- the probability of event B occurring
Task example:
The basket has 12
green balls, 30
red balls, and 18
yellow balls. What is the probability of taking a green or red ball?
P(green)
= 12/60 = 0.2 = 20%P(red)
= 30/60 = 0.5 = 50%P(green or red)
= P(green) + P(red) = 20% + 50% = 70%.
Thanks for your feedback!