Probability of Getting Gold or Silver Ornaments from Christmas Tree

a. What is the probability of getting a gold ornament? b. What is the probability of getting a silver ornament? c. What is the probability that she will get a gold or silver ornament?

To calculate the probabilities, we need to know the total number of ornaments on the Christmas tree. Adding up the number of ornaments given, we have: Total number of ornaments = 24 (silver) + 12 (gold) + 8 (red) + 19 (black) Total number of ornaments = 63

Calculating Probabilities for Gold and Silver Ornaments

a. Probability of getting a gold ornament: The probability of getting a gold ornament is the number of gold ornaments divided by the total number of ornaments: Probability of getting a gold ornament = Number of gold ornaments / Total number of ornaments Probability of getting a gold ornament = 12 / 63 b. Probability of getting a silver ornament: The probability of getting a silver ornament is the number of silver ornaments divided by the total number of ornaments: Probability of getting a silver ornament = Number of silver ornaments / Total number of ornaments Probability of getting a silver ornament = 24 / 63 c. Probability of getting a gold or silver ornament: To calculate the probability of getting a gold or silver ornament, we need to add the probabilities of getting a gold ornament and a silver ornament: Probability of getting a gold or silver ornament = Probability of getting a gold ornament + Probability of getting a silver ornament Probability of getting a gold or silver ornament = (12 / 63) + (24 / 63) Simplifying the expression, we get the probability of getting a gold or silver ornament.

Final answer: The probability of getting a gold ornament is 4/21. The probability of getting a silver ornament is 8/21. The probability of getting a gold or silver ornament is 4/7. Explanation: To find the probability of getting a gold ornament, divide the number of gold ornaments (12) by the total number of ornaments (63): P(gold) = 12/63 = 4/21 To find the probability of getting a silver ornament, divide the number of silver ornaments (24) by the total number of ornaments: P(silver) = 24/63 = 8/21 To find the probability of getting a gold or silver ornament, add the probabilities of getting a gold ornament and a silver ornament: P(gold or silver) = P(gold) + P(silver) = 4/21 + 8/21 = 12/21 = 4/7

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