Question

a rabbit is randomly pulled from a hat with 9 white rabbits, 3 red rabbits, 7 black rabbits, and 8 yellow rabbits.
event a: red
event b: white
\\(p(a\text{ or }b) = ?\\)
hint: \\(p(a\text{ or }b) = p(a) + p(b)\\)
round your answer to the nearest hundredth.

Explanation:

Calculate total number of rabbits

Using the Theoretical Probability knowledge point

$$ \text{Total} = 9 \text{ (white)} + 3 \text{ (red)} + 7 \text{ (black)} + 8 \text{ (yellow)} = 27 $$

Determine individual probabilities

Using the Theoretical Probability knowledge point

$$
LATEXBLOCK0
$$

Apply addition rule for mutually exclusive events

Using the Mutually Exclusive Events knowledge point

$$ P(A \text{ or } B) = P(A) + P(B) = \frac{3}{27} + \frac{9}{27} = \frac{12}{27} = \frac{4}{9} $$

Convert to decimal and round

Using the Theoretical Probability knowledge point

$$ P(A \text{ or } B) = \frac{4}{9} \approx 0.4444... \approx 0.44 $$

Answer:

A rabbit is randomly pulled from a hat with 9 white rabbits, 3 red rabbits, 7 black rabbits, and 8 yellow rabbits.
Event A: red
Event B: white
\(P(A \text{ or } B) =\) <blank>0.44</blank>
Hint: \(P(A \text{ or } B) = P(A) + P(B)\)
Round your answer to the nearest hundredth.