Question

a seashell is randomly drawn from a bag with 42 gold seashells, 27 black seashells, and 19 silver seashells.
event a: black
event b: silver
\\(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 outcomes

Using the Theoretical Probability knowledge point

$$ \text{Total seashells} = 42 + 27 + 19 = 88 $$

Find individual probabilities

Using the Theoretical Probability knowledge point

$$
LATEXBLOCK0
$$

Apply addition rule

Using the Mutually Exclusive Events knowledge point

$$ P(A \text{ or } B) = P(A) + P(B) = \frac{27}{88} + \frac{19}{88} = \frac{46}{88} $$

Convert to decimal

Using the Theoretical Probability knowledge point

$$ P(A \text{ or } B) = \frac{23}{44} \approx 0.5227 $$

Round to nearest hundredth

Using the Theoretical Probability knowledge point

$$ P(A \text{ or } B) \approx 0.52 $$

Answer:

A seashell is randomly drawn from a bag with 42 gold seashells, 27 black seashells, and 19 silver seashells.
Event A: black
Event B: silver
\(P(\text{A or B}) =\) <blank>0.52</blank>
Hint: \(P(\text{A or B}) = P(\text{A}) + P(\text{B})\)
Round your answer to the nearest hundredth.