Class 10 Exam > Class 10 Questions > A number x is selected from the numbers 1,2,3...
Start Learning for Free
A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9?
Most Upvoted Answer
A number x is selected from the numbers 1,2,3 and then a second number...
Step-by-step explanation:
Given : A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9.
Total number of outcomes for product of two numbers selected from x any :
3*3=9
The outcomes for which the product xy of the two numbers selected will be less than 9 : 1*1 , 1*4, 2*1, 2*4, 3*1
Hence, the number of desired outcomes = 5
Then, the probability that the product xy of the two numbers selected will be less than 9 :-
Community Answer
A number x is selected from the numbers 1,2,3 and then a second number...
Probability of Product xy being less than 9 when selecting two numbers from given sets
To find the probability that the product xy of two numbers will be less than 9, we need to consider all possible combinations of x and y and determine how many of them satisfy the given condition. Let's break down the problem step by step.
Step 1: Determine the sample space
The sample space is the set of all possible outcomes when selecting two numbers, one from each given set. In this case, the sample space consists of all combinations of x and y.
The possible values for x are 1, 2, and 3.
The possible values for y are 1, 4, and 9.
So, the sample space is:
{(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4), (3, 9)}
Step 2: Determine the favorable outcomes
We need to count the number of combinations (x, y) where the product xy is less than 9.
From the sample space, the combinations that satisfy the condition are:
{(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4)}
So, there are 8 favorable outcomes.
Step 3: Calculate the probability
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes (sample space).
Total number of possible outcomes = 9 (from the sample space)
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 8/9
Therefore, the probability that the product xy of the two numbers will be less than 9 is 8/9.
Summary:
- Sample space: {(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4), (3, 9)}
- Favorable outcomes: {(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4)}
- Probability = 8/9
To find the probability that the product xy of two numbers will be less than 9, we need to consider all possible combinations of x and y and determine how many of them satisfy the given condition. Let's break down the problem step by step.
Step 1: Determine the sample space
The sample space is the set of all possible outcomes when selecting two numbers, one from each given set. In this case, the sample space consists of all combinations of x and y.
The possible values for x are 1, 2, and 3.
The possible values for y are 1, 4, and 9.
So, the sample space is:
{(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4), (3, 9)}
Step 2: Determine the favorable outcomes
We need to count the number of combinations (x, y) where the product xy is less than 9.
From the sample space, the combinations that satisfy the condition are:
{(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4)}
So, there are 8 favorable outcomes.
Step 3: Calculate the probability
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes (sample space).
Total number of possible outcomes = 9 (from the sample space)
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 8/9
Therefore, the probability that the product xy of the two numbers will be less than 9 is 8/9.
Summary:
- Sample space: {(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4), (3, 9)}
- Favorable outcomes: {(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (2, 9), (3, 1), (3, 4)}
- Probability = 8/9
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9?
Question Description
A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9?.
A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9?.
Solutions for A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? defined & explained in the simplest way possible. Besides giving the explanation of
A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9?, a detailed solution for A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? has been provided alongside types of A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? theory, EduRev gives you an
ample number of questions to practice A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9 what is the probability that product xy of the two numbers will be less than 9? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup