$$ 1 \leftarrow $$ Find the probability $$ P(E $$ or $$ F) $$ if $$ E $$ and $$ F $$ are mutually exclusive, $$ P(E)=0.25 $$, and $$ P(F)=0.51 $$.

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UpStudy AI · Accepted Answer

To find the probability $$ P(E \text{ or } F) $$ for mutually exclusive events $$ E $$ and $$ F $$, we can use the formula:

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

Given:
- $$ P(E) = 0.25 $$
- $$ P(F) = 0.51 $$

Now, we can substitute these values into the formula:

$$
P(E \text{ or } F) = 0.25 + 0.51
$$

Let's calculate this:
Calculate the value by following steps:
- step0: Calculate:
  $$0.25+0.51$$
- step1: Add the numbers:
  $$0.76$$
The calculation gives us two formats for the result of $$ P(E \text{ or } F) $$:

1. Decimal form: $$ 0.76 $$
2. Fraction form: $$ \frac{19}{25} $$

Thus, the probability $$ P(E \text{ or } F) $$ is $$ 0.76 $$ or $$ \frac{19}{25} $$.
The probability $$ P(E \text{ or } F) $$ is $$ 0.76 $$ or $$ \frac{19}{25} $$.

Find the probability or if and are mutually exclusive, , and .

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