Question

a shirt is randomly drawn from a bag with 14 small shirts, 19 medium shirts, and 7 large shirts.
event a: small
event b: large
\\(p(a \text{ or } b) = ? \\)
hint: \\(p(a \text{ or } b) = p(a) + p(b)\\)
round your answer to the nearest hundredth.

Explanation:

Calculate the total number of shirts

Using the Theoretical Probability knowledge point

$$ \text{Total shirts} = 14 + 19 + 7 = 40 $$

Determine individual probabilities

Using the Theoretical Probability knowledge point

$$
LATEXBLOCK0
$$

Apply the addition rule

Using the Mutually Exclusive Events knowledge point

$$ P(A \text{ or } B) = P(A) + P(B) = 0.35 + 0.175 = 0.525 $$

Round to the nearest hundredth

Using the Theoretical Probability knowledge point

$$ P(A \text{ or } B) \approx 0.53 $$

Answer:

A shirt is randomly drawn from a bag with 14 small shirts, 19 medium shirts, and 7 large shirts.
Event A: small
Event B: large
\(P(A \text{ or } B) =\) <blank>0.53</blank>
Hint: \(P(A \text{ or } B) = P(A) + P(B)\)
Round your answer to the nearest hundredth.