What is the probability that a number picked from the first twenty natural numbers is an even composite number?
Answer
368.1k+ views
Hint : Write down the even composite numbers from the first twenty natural numbers.
Composite numbers can be defined as the whole numbers that have more than two factors.
Whole numbers that are not prime are composite numbers (except 1).
We have to find the probability of picking an even composite number from the first 20 natural numbers.
Even composite numbers from first 20 natural numbers $ = 4, 6, 8, 10, 12, 14, 16, 18, 20$
Hence the number of even composite numbers from the first 20 natural numbers is 9.
Let E be an event of picking up even composite number so $n(E) = 9$
Total numbers that we need to pick from equal to 20 as given in the question statement.
So $n(S) = 20$
Hence \[P(E) = \dfrac{{n(E)}}{{n(S)}} = \dfrac{9}{{20}}\]
Note: Whenever we come across such problems some knowledge of number systems is needed. Whole numbers that are not prime are composite numbers (except 1). In these types of problems we have to find the number of elements in sample space and the required event to find the probability.
Composite numbers can be defined as the whole numbers that have more than two factors.
Whole numbers that are not prime are composite numbers (except 1).
We have to find the probability of picking an even composite number from the first 20 natural numbers.
Even composite numbers from first 20 natural numbers $ = 4, 6, 8, 10, 12, 14, 16, 18, 20$
Hence the number of even composite numbers from the first 20 natural numbers is 9.
Let E be an event of picking up even composite number so $n(E) = 9$
Total numbers that we need to pick from equal to 20 as given in the question statement.
So $n(S) = 20$
Hence \[P(E) = \dfrac{{n(E)}}{{n(S)}} = \dfrac{9}{{20}}\]
Note: Whenever we come across such problems some knowledge of number systems is needed. Whole numbers that are not prime are composite numbers (except 1). In these types of problems we have to find the number of elements in sample space and the required event to find the probability.
Last updated date: 01st Oct 2023
•
Total views: 368.1k
•
Views today: 10.68k
Recently Updated Pages
What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

One cusec is equal to how many liters class 8 maths CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE
