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 not red. p(not red) = ?

Explanation:

Step1: Calculate the total number of balls

The total number of balls is the sum of blue, purple, red and orange balls.
$$19 + 28+21 + 29=(19 + 21)+(28 + 29)=40+57 = 97$$

Step2: Calculate the number of non - red balls

The number of non - red balls is the sum of blue, purple and orange balls.
$$19+28 + 29=76$$

Step3: Calculate the probability

The probability \(P(\text{not red})\) is the number of non - red balls divided by the total number of balls.
$$P(\text{not red})=\frac{76}{97}$$

Answer:

\(\frac{76}{97}\)