Suppose that $$ E $$ and $$ F $$ are two events, $$ P(E)=0.7 $$, and $$ P(F \mid E)=0.8 $$. Find $$ P(E $$ and $$ F) $$. $$ P(E $$ and $$ F)=\square $$ (Type an integer or a decimal. Do not round.)

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We know that the joint probability of events $$ E $$ and $$ F $$ is given by

$$
P(E \text{ and } F) = P(E) \cdot P(F \mid E)
$$

Substituting the given values, we have

$$
P(E \text{ and } F) = 0.7 \times 0.8 = 0.56
$$

Thus, $$ P(E \text{ and } F) = 0.56 $$.
$$ P(E \text{ and } F) = 0.56 $$

Suppose that and are two events, , and . Find and .
and
(Type an integer or a decimal. Do not round.)

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Suppose that and are two events, , and . Find and . and (Type an integer or a decimal. Do not round.)