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
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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