An experiment on the probability is carried out, in which the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event

Bevan Mcdonald 2020-12-28 Answered

An experiment on the probability is carried out, in which the sample space of the experiment is
S=1,2,3,4,5,6,7,8,9,10,11,12.
Let event E=2,3,4,5,6,7,event
F=5,6,7,8,9,event G=9,10,11,12,and event H=2,3,4.
Assume that each outcome is equally likely. List the outcome s in For G.
Now find P( For G) by counting the number of outcomes in For G.
Determine P (For G ) using the General Addition Rule.

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Expert Answer

dieseisB
Answered 2020-12-29 Author has 85 answers

Step 1
F or G=5,6,7,8,9,10,11,12
Step 2
The set above has 8 elements, there are 12 possible outcomes, therefore
P(F or G)=812=23
Using the General Addition Rule gives:
P(FG)=P(F)+P(G)P(FG)
P(FG)=52+412P(EH)
P(FG)=612+312112
P(FG)=81223

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