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|A card is selected from a deck and not put back into the deck. Another card is selected from the deck. ZA marble is selected from a bag with no replacement. A second marble is selected. BA sock is chosen from a basket of clothes. Another sock is chosen without replacing the first sock. YTwo coins are flipped.

|A card is selected from a deck and not put back into the deck. Another card is selected from the deck. ZA marble is selected from a bag with no replacement. A second marble is selected. BA sock is chosen from a basket of clothes. Another sock is chosen without replacing the first sock. YTwo coins are flipped.

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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**Question:** Which situation describes two independent events? **Options:** 1. A card is selected from a deck and not put back into the deck. Another card is selected from the deck. 2. A marble is selected from a bag with no replacement. A second marble is selected. 3. A sock is chosen from a basket of clothes. Another sock is chosen without replacing the first sock. 4. Two coins are flipped. **Detailed Explanation:** - **Option 1:** The events of selecting the cards are dependent because the first card is not put back into the deck, changing the probability of drawing the second card. - **Option 2:** The events of selecting the marbles are dependent because the first marble is not put back into the bag, changing the probability of drawing the second marble. - **Option 3:** The events of selecting the socks are dependent because the first sock is not put back, changing the probability of drawing the second sock. - **Option 4:** The events of flipping the coins are independent because the outcome of the first flip does not affect the outcome of the second flip. **Conclusion:** Only **Option 4** describes two independent events.
Transcribed Image Text:**Question:** Which situation describes two independent events? **Options:** 1. A card is selected from a deck and not put back into the deck. Another card is selected from the deck. 2. A marble is selected from a bag with no replacement. A second marble is selected. 3. A sock is chosen from a basket of clothes. Another sock is chosen without replacing the first sock. 4. Two coins are flipped. **Detailed Explanation:** - **Option 1:** The events of selecting the cards are dependent because the first card is not put back into the deck, changing the probability of drawing the second card. - **Option 2:** The events of selecting the marbles are dependent because the first marble is not put back into the bag, changing the probability of drawing the second marble. - **Option 3:** The events of selecting the socks are dependent because the first sock is not put back, changing the probability of drawing the second sock. - **Option 4:** The events of flipping the coins are independent because the outcome of the first flip does not affect the outcome of the second flip. **Conclusion:** Only **Option 4** describes two independent events.
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