An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?

Name: Solved: An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6? - MathMaster
Brand: MathMaster
Rating: 4.9 (238 reviews)

238

likes

1188 views

Answer to a math question An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?

$Expert avatar$

Lurline

4.6

108 Answers

Para encontrar la probabilidad de que un número entero tomado al azar de los primeros 40 enteros positivos sea divisible por 5 o 6, primero podemos contar el número de números enteros en el rango dado que son divisibles por 5 o 6, y luego dividir ese recuento por número total de números enteros en el rango. Primero, contemos el número de números enteros en el rango de 1 a 40 que son divisibles por 5 o 6. Podemos hacerlo encontrando los múltiplos de 5 y 6 dentro de este rango. Los múltiplos de 5 en este rango son 5, 10, 15, 20, 25, 30, 35 y 40. Los múltiplos de 6 en este rango son 6, 12, 18, 24, 30 y 36. Sin embargo, necesitamos tener cuidado de no contar dos veces los múltiplos comunes de 5 y 6. Entonces, el número total de números enteros en el rango que son divisibles por 5 o 6 es 14. A continuación, calculamos la probabilidad dividiendo el número de resultados favorables (14) por el número total de resultados posibles (40). Por lo tanto, la probabilidad de que un número entero tomado al azar de los primeros 40 enteros positivos sea divisible por 5 o 6 es 14/40, lo que se simplifica a 7/20 o 0,35.

Frequently asked questions (FAQs)

Find the amplitude, period, and phase shift of f(x) = cos(x).

Question: Find the maximum value of the function y = 3sin(2x) + 4cos(3x) for x ∈ [0, π/2].

Math question: What is the period of the cosine function f(x) = cos(x)? How does it relate to the unit circle?

New questions in Mathematics

a to the power of 2 minus 16 over a plus 4, what is the result?

calculate the following vector based on its base vectors a= -18i,26j

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?

The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?

A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.

9b^2-6b-5

In a store, a person carries 14 kilos of rice and 28 kilos of flour. In what ratio are the kilos found? (Remember to simplify until you reach an irreducible fraction)