kayelynn003
20.02.2020 •
Mathematics
A single fair die is rolled. Let events A={2,4}, and B={1,2,5}. Event A is independent with event B. True or False?
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Ответ:
TRUE
Step-by-step explanation:
Event A and event B will be independent if
P(A∩B)=P(A)*P(B)
A={2,4}
B={1,2,5}
There are 6 outcomes when die is rolled.
n(S)=6
A∩B={2}
P(A∩B)=n(A∩B)/n(S)=1/6
P(A)=n(A)/n(S)=2/6=1/3
P(B)=n(B)/n(S)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)=P(A)*P(B)
So, event A and event B are independent.
Ответ: