Question

a bag contains 19 blue, 28 purple, 21 red, and 29 orange balls. you pick one ball at random. find the probability that it is purple or orange. p(purple or orange) = \frac{?}{} simplify your answer completely.

Explanation:

Step1: Calculate total number of balls

Total number of balls = \(19 + 28+21 + 29\)

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Step2: Calculate number of purple or orange balls

Number of purple or orange balls = \(28 + 29=57\)

Step3: Calculate probability

Probability formula: \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
So \(P(\text{purple or orange})=\frac{57}{97}\)

Answer:

\(\frac{57}{97}\)