Mathematics: Which equation can be used to answer the question below? Christopher made 12 of the 40 recipes he downloaded from the Internet. What percent of the recipes did he make? 12 = 40x 12x = 40 12=x40 x=12(40)

Which equation can be used to answer the question

janessa0804

20.08.2021

Event A and B are independent

Step-by-step explanation:

Events A and B are independent if and only if

$P(A \cap B) = P(A) \cdot P(B)$

As per the statement:

The probability of event A is 0.65 and the probability of event B is 0.76.

⇒ P(A) = 0.65 and P(B) = 0.76

It is also given that the probability of both event A and event B occurring is 0.494.

$P(A \cap B) =0.494$

Find: $P(A \cap B)$

$P(A) \cdot P(B) = 0.65 \cdot 0.76$

Simplify:

$P(A \cap B) = 0.494$

⇒ $P(A) \cdot P(B) =P(A \cap B)$

therefore, Events A and B are independent.

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