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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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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