Find the probability of the indicated event if and .
Find or if and .
or (Simplify your answer.)

Ask by Chambers Gibbs. in the United States

Mar 25,2025

Question

Find the probability of the indicated event if $$ P(E)=0.25 $$ and $$ P(F)=0.50 $$. Find $$ P(E $$ or $$ F) $$ if $$ P(E $$ and $$ F)=0.05 $$. $$ P(E $$ or $$ F)=\square $$ (Simplify your answer.)

UpStudy AI · Accepted Answer

Step 1: We use the formula for the probability of the union of two events:

$$
P(E \text{ or } F)=P(E)+P(F)-P(E \text{ and } F).
$$

Step 2: Substitute the given probabilities into the formula:

$$
P(E \text{ or } F)=0.25+0.50-0.05.
$$

Step 3: Compute the value:

$$
0.25+0.50=0.75,
$$

$$
0.75-0.05=0.70.
$$

Thus, the simplified answer is:

$$
P(E \text{ or } F)=0.70.
$$
$$ P(E \text{ or } F)=0.70 $$

Find the probability of the indicated event if and .
Find or if and .
or (Simplify your answer.)

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Find the probability of the indicated event if and . Find or if and . or (Simplify your answer.)