Question

lacey went birdwatching and saw 8 ducks, as well as 46 other birds.
what is the probability that a randomly chosen bird spotted by lacey is a duck?
write your answer as a fraction or whole number.
p(duck) =

Explanation:

Step1: Calculate total number of birds

Total birds = Number of ducks + Number of other birds. So, total birds = \(8 + 46=54\).

Step2: Use probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, number of favorable outcomes (ducks) is \(8\), total number of outcomes (total birds) is \(54\). So \(P(\text{duck})=\frac{8}{54}\).

Step3: Simplify the fraction

Divide numerator and denominator by \(2\). \(\frac{8\div2}{54\div2}=\frac{4}{27}\).

Answer:

\(\frac{4}{27}\)