There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marble on the first draw?1/34/78/149/1411/14
Answer: 9/14Explanation: Use this ratio for probability:Probability = Number of Desired OutcomesNumber of Possible OutcomesThere are 6 blue marbles and 3 red marbles for a total of 9 desired outcomes. Add the total number of marbles to get the total number of possible outcomes, 14. The probability that a red or blue marble will be selected is 9/14.
To find the probability of selecting a blue or red marble on the first draw, we need to add the probability of selecting a blue marble to the probability of selecting a red marble.
The total number of marbles in the bag is:
6 blue marbles + 3 red marbles + 5 yellow marbles = 14 marbles
The probability of selecting a blue marble on the first draw is:
6 blue marbles / 14 total marbles = 3/7
The probability of selecting a red marble on the first draw is:
3 red marbles / 14 total marbles = 3/14
To find the probability of selecting a blue or red marble on the first draw, we add the probabilities:
3/7 + 3/14 = 6/14 + 3/14 = 9/14
Therefore, the probability of selecting a blue or red marble on the first draw is 9/14.
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