Question

a toy is randomly drawn from a barrel with 28 toy soldiers, 16 model cars, and 6 model trains.
event a: model car
event b: model train
\\(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 toys

Using the Theoretical Probability knowledge point

$$ \text{Total toys} = 28 + 16 + 6 = 50 $$

Find the probability of Event A

Using the Theoretical Probability knowledge point

$$ P(A) = \frac{16}{50} = 0.32 $$

Find the probability of Event B

Using the Theoretical Probability knowledge point

$$ P(B) = \frac{6}{50} = 0.12 $$

Calculate the probability of A or B

Using the Mutually Exclusive Events knowledge point

$$ P(A \text{ or } B) = P(A) + P(B) = 0.32 + 0.12 = 0.44 $$

Answer:

A toy is randomly drawn from a barrel with 28 toy soldiers, 16 model cars, and 6 model trains.
Event A: model car
Event B: model train
\(P(A \text{ or } B) =\) <blank>0.44</blank>
Hint: \(P(A \text{ or } B) = P(A) + P(B)\)
Round your answer to the nearest hundredth.