A card is selected at random A B C D E F G 0089858 1 4 6 2 1 2 A sample space for the experiment is {A, B, C, D, E, F, G}. Let W respresent the event "the card is white", let S represent "the card is shaded", and L represent "the number is less than 3".
A card is selected at random A B C D E F G 0089858 1 4 6 2 1 2 A sample space for the experiment is {A, B, C, D, E, F, G}. Let W respresent the event "the card is white", let S represent "the card is shaded", and L represent "the number is less than 3".
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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Transcribed Image Text:### Probability Problem with Set of Cards
**Problem Statement:**
A card is selected at random from the set of cards displayed below.
**Cards Display:**
- **Card A**: White with number 1
- **Card B**: Shaded with number 4
- **Card C**: White with number 6
- **Card D**: Shaded with number 2
- **Card E**: White with number 5
- **Card F**: Shaded with number 1
- **Card G**: White with number 2
**Explanation of Symbols:**
- **Sample space (S)**: {A, B, C, D, E, F, G}
- **Event W**: The card is white
- **Event S**: The card is shaded
- **Event L**: The number on the card is less than 3
**Options:**
a. The event W is {A, C, G}.
b. The event W or L is {A, D, F, G}.
c. The event W and L is {A, G}.
d. The event not L is {B, C, E, F}.
e. P(W or S) = 1
f. P(W and S) = 0
**Analysis of Statements:**
- **Event W (The card is white)**: Cards {A, C, E, G}
- **Event S (The card is shaded)**: Cards {B, D, F}
- **Event L (Number < 3)**: Cards {A, D, F, G}
Let's check each option:
a. The event W is {A, C, G}. This is incorrect; W should include {A, C, E, G}.
b. The event W or L is {A, D, F, G}. This is incorrect; W or L should include {A, B, C, D, E, F, G} (all cards).
c. The event W and L is {A, G}. This is correct.
d. The event not L is {B, C, E, F}. This is correct.
e. P(W or S) = 1. This is correct since every card is either white or shaded.
f. P(W and S) = 0. This is correct since no card can be both white and
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