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%.
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Addition Rule for Mutually Exclusive Events
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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%.
Obrigado pelo seu feedback!