Question

a bag contains 2 blue, 1 red, and 2 purple marbles. the complement of choosing a red marble is

Explanation:

Step1: Calculate total number of marbles

Total marbles = \(2 + 1+2=5\)

Step2: Find probability of choosing red marble

Probability of red \(P(R)=\frac{1}{5}\)

Step3: Use complement rule

Complement of an event \(A\) is \(P(\overline{A}) = 1 - P(A)\). Here \(A\) is choosing red. So \(P(\overline{R})=1-\frac{1}{5}\)

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Answer:

\(\frac{4}{5}\)