|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)
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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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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