Pergunta
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)
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AlanMestre · Tutor por 5 anos
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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.<br /><br />Step 1: Calculate the total number of yellow and red marbles.<br />Total number of yellow marbles = Total number of marbles - Number of green marbles - Number of blue marbles - Number of red marbles<br />Total number of yellow marbles = 15 - 3 - 4 - 5 = 3<br /><br />Step 2: Calculate the total number of red marbles.<br />Total number of red marbles = 5<br /><br />Step 3: Calculate the total number of yellow or red marbles.<br />Total number of yellow or red marbles = Total number of yellow marbles + Total number of red marbles<br />Total number of yellow or red marbles = 3 + 5 = 8<br /><br />Step 4: Calculate the probability.<br />Probability = Total number of yellow or red marbles / Total number of marbles<br />Probability = 8 / 15<br /><br />Therefore, the probability that Katie will randomly choose a yellow or red marble is $\frac {8}{15}$.<br /><br />Answer: C. $\frac {8}{15}$
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