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7. In a game, you choose a card from a box containing 4 red cards, 6 blue cards, and 5 yellow cards. You replace the first card in the box and then choose again. What is the probability of choosing a red or blue card and then choosing a blue or yellow card?

7. In a game, you choose a card from a box containing 4 red cards, 6 blue cards, and 5 yellow cards. You replace the first card in the box and then choose again. What is the probability of choosing a red or blue card and then choosing a blue or yellow card?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcription and Explanation for Educational Use: --- **Problem Set** **7.** In a game, you choose a card from a box containing 4 red cards, 6 blue cards, and 5 yellow cards. You replace the first card in the box and then choose again. What is the probability of choosing a red or blue card and then choosing a blue or yellow card? **8.** A coin is tossed and a die is rolled. What is the probability that the coin shows tails and the die shows a 3? **9.** A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows an odd number? **10.** Two urns each contain green balls and yellow balls. Urn I contains three green balls and three yellow balls and Urn II contains five green balls and five yellow balls. A ball is drawn from each urn. What is the probability that both balls are yellow? **11.** In a game, you choose a card from a box containing 4 red cards, 6 blue cards, and 5 yellow cards. You do not replace the first card in the box before choosing again. What is the probability of choosing a blue card and then choosing a yellow card? --- **Explanation:** The document consists of probability problems that involve different scenarios. Each problem describes a random experiment with a set of possible outcomes, asking for the calculation of probabilities based on those outcomes. These problems are designed to reinforce concepts of probability and independent or dependent events. There are no graphs or diagrams included in the document, so the focus remains on textual probability scenarios.
Transcribed Image Text:Transcription and Explanation for Educational Use: --- **Problem Set** **7.** In a game, you choose a card from a box containing 4 red cards, 6 blue cards, and 5 yellow cards. You replace the first card in the box and then choose again. What is the probability of choosing a red or blue card and then choosing a blue or yellow card? **8.** A coin is tossed and a die is rolled. What is the probability that the coin shows tails and the die shows a 3? **9.** A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows an odd number? **10.** Two urns each contain green balls and yellow balls. Urn I contains three green balls and three yellow balls and Urn II contains five green balls and five yellow balls. A ball is drawn from each urn. What is the probability that both balls are yellow? **11.** In a game, you choose a card from a box containing 4 red cards, 6 blue cards, and 5 yellow cards. You do not replace the first card in the box before choosing again. What is the probability of choosing a blue card and then choosing a yellow card? --- **Explanation:** The document consists of probability problems that involve different scenarios. Each problem describes a random experiment with a set of possible outcomes, asking for the calculation of probabilities based on those outcomes. These problems are designed to reinforce concepts of probability and independent or dependent events. There are no graphs or diagrams included in the document, so the focus remains on textual probability scenarios.
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