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%
Tack för dina kommentarer!
Fråga AI
Fråga AI
Fråga vad du vill eller prova någon av de föreslagna frågorna för att starta vårt samtal
Fantastiskt!
Completion betyg förbättrat till 3.7Multiplication Rule for Dependent Events
Svep för att visa menyn
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%
Tack för dina kommentarer!
