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Sagot :
Answer:
Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Are the outcomes L and F independent?
We are given that:
[tex]P(L \cap F) = 0.31[/tex]
Multiplication of the probabilities:
[tex]P(L)P(F) = 0.58*0.5 = 0.29[/tex]
Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.
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