Multiplication Rule for Dependent Events
Multiplication Rule for Dependent Events
We use the multiplication rule for dependent events if the order of events is essential.
Formula:
P(A 1st and B 2nd) = P(A) * P(B|A)
P(A 1st and B 2nd)
- the probability of event A occurring first and event B occurring second,P(A)
- the probability of event A occurring,P(B|A)
- the probability of event B occurring after event A occured.
Task example:
You have a basket with 5
yellow and 15
blue balls. What is the probability that we will take the blue ball after the yellow?
P(yellow)
= 5/20 = 0.25 = 25%,P(blue|yellow)
= 15/19 = 0.78947 = 78.947% (we tool one yellow ball, so, only 19 left),P(yellow and blue|yellow)
= P(yellow) * P(blue|yellow) = 25% * 78.947% = 19.737%
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Multiplication Rule for Dependent Events
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Multiplication Rule for Dependent Events
We use the multiplication rule for dependent events if the order of events is essential.
Formula:
P(A 1st and B 2nd) = P(A) * P(B|A)
P(A 1st and B 2nd)
- the probability of event A occurring first and event B occurring second,P(A)
- the probability of event A occurring,P(B|A)
- the probability of event B occurring after event A occured.
Task example:
You have a basket with 5
yellow and 15
blue balls. What is the probability that we will take the blue ball after the yellow?
P(yellow)
= 5/20 = 0.25 = 25%,P(blue|yellow)
= 15/19 = 0.78947 = 78.947% (we tool one yellow ball, so, only 19 left),P(yellow and blue|yellow)
= P(yellow) * P(blue|yellow) = 25% * 78.947% = 19.737%
Obrigado pelo seu feedback!