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)
Math Question: Determine the absolute extrema of the function f(x) = x^3 - 4x^2 + 3x on the interval [0,5].
+
What is the length of the hypotenuse in a right triangle if the lengths of the other two sides are 3 and 4?
+
What is the product of two consecutive positive integers if the sum of their squares is 365?
+
New questions in Mathematics
How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117
The gross domestic product the gdp for the United States in 2017 was approximately $2.05x10^3. If you wrote this number in standard notation , it would be 205 followed by how many zeros
The derivative of a power is obtained just by subtracting 1 from the power True or false
a) A tap can supply eight gallons of gasoline daily to each of its 250 customers for 60 days. By how many gallons should each customer's daily supply be reduced so that it can supply 50 more customers for twenty more days?
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
Convert 78 percent to a decimal
5.- From the probabilities: 𝐏(𝐁) = πŸ‘πŸŽ% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 Μ…) = πŸ•πŸŽ% You are asked to calculate: 𝐏(𝐀 βˆͺ 𝐁)
solve for x 50x+ 120 (176-x)= 17340
During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1βˆ’(1/2)*cos(Ο€t/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.
User The average height of Aranka, BΓΆske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of BΓΆskΓ© and Delinke is 336 cm. How tall is Lili?
The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in Β£s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?
3 A tree is planted when it is 1.2 m tall. Every year its growth is 3/8 of its previous year's height. Find how tall the tree will grow.
A company receives sales in $20 per book and $18 per calculator. The per unit cost to manufacture each book and calculator are $5 and 4$ respectively. The monthly (30 day) cost must not exceed $27000 per month. If the manufacturing equipment used by the company takes five minutes to produce a book and 15 minutes to produce a calculator, how many books and calculators should the company produce to maximise profit? Please solve graphically and
The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.
Solve equations by equalization method X-8=-2y 2x+y=7
Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?
During a month's time, an automobile sales person receives a 6% commission on the first $5000 in sales, a 7% commission on the next $5000 sales, 8% commission on anything over $10,000. What is her commission for $36,000 in sales?
Find the symmetric point to a point P = (2,-7,10) with respect to a plane containing a point Po = (3, 2, 2) and perpendicular to a vector u = [1, -3, 2].
3(x-4)=156
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.

You might be interested in