You randomly select one card from a 52-card deck. Find the probability of selecting a red five or a red six. The probability is ... (Type an integer or a fraction. Simplify your answer.)
You randomly select one card from a 52-card deck. Find the probability of selecting a red five or a red six. The probability is ... (Type an integer or a fraction. Simplify your answer.)
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
10.2: Answer
![**Probability of Selecting a Red Five or a Red Six from a 52-Card Deck**
In this exercise, you will determine the probability of drawing either a red five or a red six from a standard 52-card deck.
**Problem Statement:**
You randomly select one card from a 52-card deck. Find the probability of selecting a red five or a red six.
**Solution:**
The deck contains two red suits: hearts and diamonds.
- There is one red five in hearts and one red five in diamonds.
- Similarly, there is one red six in hearts and one red six in diamonds.
This means there are 2 red fives and 2 red sixes, totaling 4 favorable outcomes.
**Total Possible Outcomes:**
The total number of cards in the deck is 52.
**Calculation:**
The probability is given by the formula:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]
\[
\text{Probability} = \frac{4}{52} = \frac{1}{13}
\]
**Conclusion:**
The probability of selecting a red five or a red six is \(\frac{1}{13}\).
**Answer Box:**
Type your answer as an integer or a fraction. Simplify your answer if necessary.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8470e22-cdb6-4814-babe-099f6875e962%2Fa9150456-20f3-4a09-924a-5ba9445c7827%2Fcv5g62m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability of Selecting a Red Five or a Red Six from a 52-Card Deck**
In this exercise, you will determine the probability of drawing either a red five or a red six from a standard 52-card deck.
**Problem Statement:**
You randomly select one card from a 52-card deck. Find the probability of selecting a red five or a red six.
**Solution:**
The deck contains two red suits: hearts and diamonds.
- There is one red five in hearts and one red five in diamonds.
- Similarly, there is one red six in hearts and one red six in diamonds.
This means there are 2 red fives and 2 red sixes, totaling 4 favorable outcomes.
**Total Possible Outcomes:**
The total number of cards in the deck is 52.
**Calculation:**
The probability is given by the formula:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\]
\[
\text{Probability} = \frac{4}{52} = \frac{1}{13}
\]
**Conclusion:**
The probability of selecting a red five or a red six is \(\frac{1}{13}\).
**Answer Box:**
Type your answer as an integer or a fraction. Simplify your answer if necessary.
Expert Solution
Step 1
draw cards from 52 card deck.
red 5 or red 6 = ?
Step by step
Solved in 2 steps
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