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katie has a bag of 15 marbles. - there are 3 green , 4 blue, and 5 red marbles. - the rest of the marbles are yellow. if katie randomly

Question

Katie has a bag of 15 marbles. - There are 3 green , 4 blue, and 5 red marbles. - The rest of the marbles are yellow. If Katie randomly chooses a marble, what is the probability it will be yellow or red? A. (1)/(5) B. (1)/(3) C. (8)/(15) D. (3)/(5)

Solution

Verificación de expertos
4.6 (287 Votos)
Alan Mestre · Tutor por 5 anos

Resposta

To find the probability that Katie will randomly choose a yellow or red marble, we need to calculate the total number of yellow and red marbles and divide it by the total number of marbles in the bag.Step 1: Calculate the total number of yellow and red marbles.Total number of yellow marbles = Total number of marbles - Number of green marbles - Number of blue marbles - Number of red marblesTotal number of yellow marbles = 15 - 3 - 4 - 5 = 3Step 2: Calculate the total number of red marbles.Total number of red marbles = 5Step 3: Calculate the total number of yellow or red marbles.Total number of yellow or red marbles = Total number of yellow marbles + Total number of red marblesTotal number of yellow or red marbles = 3 + 5 = 8Step 4: Calculate the probability.Probability = Total number of yellow or red marbles / Total number of marblesProbability = 8 / 15Therefore, the probability that Katie will randomly choose a yellow or red marble is .Answer: C.