MathMaster logo

MathMaster

  1. Home
  2. general
  3. what is the probability that we choose a number that is divisible by 3 among the first 20 natural numbers justify your ans
Question

What is the probability that we choose a number that is divisible by 3 among the first 20 natural numbers? Justify your answer

216

likes
1079 views

Answer to a math question What is the probability that we choose a number that is divisible by 3 among the first 20 natural numbers? Justify your answer

Expert avatar
Jett
4.7
97 Answers
To find the probability of choosing a number that is divisible by 3 among the first 20 natural numbers, we first need to find how many numbers among the first 20 are divisible by 3.

The first multiple of 3 is 3, and the last multiple of 3 that is less than or equal to 20 is 18.

So, the numbers divisible by 3 among the first 20 natural numbers are 3, 6, 9, 12, 15, and 18. There are a total of 6 numbers that are divisible by 3.

Now, the total number of choices is 20 (from 1 to 20).

Therefore, the probability of choosing a number that is divisible by 3 among the first 20 natural numbers is given by:
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{6}{20} = \frac{3}{10} = 0.3

\boxed{0.3} is the probability of choosing a number that is divisible by 3 among the first 20 natural numbers.

Frequently asked questions (FAQs)
What is the average number of goals scored per game by a team if they scored 15 goals in their first 5 games?
+
What is the value of 3 raised to the power of 4, then subtract the square root of 16, and finally divided by 2 squared?
+
What is the period of the trigonometric function y = 2sin(3x) + cos(2x)?
+
New questions in Mathematics
4.2x10^_6 convert to standard notation
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
the probabilty that a person has a motorcycle, given that she owns a car 25%. the percentage of people owing a motorcycle is 15% and that who own a car is 35%. find probabilty that a person owns any one or both of those
Credit title that represents a payment order. This model, which emerged in Brazil, can only be issued in two specific situations: in the purchase and sale of commercial products or in the provision of services. Select the correct alternative: Question 6Answer The. Present value B. Promissory note w. Present value d. Duplicate It is. Bill of exchange
I need to know what 20% or £3292.75
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
Engineers want to design seats in commercial aircraft so that they are wide enough to fit ​95% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.2 in. Find P95. That​ is, find the hip breadth for men that separates the smallest ​95% from the largest 5​%.
2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
Which statement best describes the key changes in perspectives on inclusion? An inclusive program must consider the unique experiences of every child and family as well as the child's strengths and needs. There is a shift in thinking about individual programs as "inclusive programs" to thinking about inclusion as something that reflects the cultural influence of the family. There is a greater emphasis on barriers to full participation and the acknowledgement that all children are unique and must be fully and meaningfully engaged in a program. In an inclusive program all participants are accepted by their peers and other members of the community.
Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms
A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation μ = 4.10 and standard deviation σ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?
x²-7x+12=0
Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.
In a school playground When going out for recess, 80 men and 75 women coexist, the Patio measures 10 meters For 40 meters (what will be the population density in the break
Paola went on vacation for 15 days if it rained 20% of the days. How many days did it rain?
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?
Let f(x)=-1/2x+5 evaluate f(-6)
Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.
An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?

You might be interested in