Tia bought a bag of bulk candies. Tia counted them and found that 18 were red, 10 were green, 26 were purple, and 32 were orange.
What is the probability of a randomly chosen candy being orange Or purple? Express the probability using the method of your choice.
The probability of a randomly chosen candy being orange or purple can be found by adding the probabilities of choosing an orange candy and choosing a purple candy.
The probability of choosing an orange candy is given by:
P(orange) = Number of orange candies / Total number of candies
P(orange) = 32 / (18 + 10 + 26 + 32)
P(orange) = 32 / 86
The probability of choosing a purple candy is given by:
P(purple) = Number of purple candies / Total number of candies
P(purple) = 26 / (18 + 10 + 26 + 32)
P(purple) = 26 / 86
Therefore, the probability of choosing an orange or purple candy is:
P(orange or purple) = P(orange) + P(purple)
P(orange or purple) = (32 / 86) + (26 / 86)
P(orange or purple) = 58 / 86
So, the probability of a randomly chosen candy being orange or purple is 58/86.