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.

Name: Solved: 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. - MathMaster
Brand: MathMaster
Rating: 4.9 (89 reviews)

likes

443 views

Answer to a math question 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.

$Expert avatar$

Nash

4.9

85 Answers

A probabilidade de uma ave pousar num poleiro específico é determinada pelo número total de poleiros disponíveis. Neste caso, existem 12 poleiros, então a probabilidade de o pássaro pousar no poleiro número 8 é 1/12. Os números primos menores que 12 são 2, 3, 5, 7 e 11. Portanto, existem 5 poleiros de números primos. Porém, como a ave nunca pousa no mesmo poleiro em sequência, se tiver pousado no poleiro número 8, não poderá pousar novamente no poleiro número 8. Portanto, o número total de poleiros disponíveis para a ave pousar em seguida é 11. Portanto, a probabilidade de o pássaro pousar em um poleiro de número primo após pousar no poleiro número 8 é 5/11. A probabilidade combinada é (1/12) * (5/11) = 5/132. Portanto, há uma chance de 5 em 132 de que o pássaro pouse no poleiro número 8 e depois em um poleiro marcado com um número primo.

Frequently asked questions (FAQs)

Math Question: Find the limit as x approaches 3 of ((2x^2+5x-3)/(x^2-9))

What is the number of ways to arrange the letters of the word "COMBINATION"?

What is the standard deviation of the following set of data: {10, 25, 32, 14, 18}?

New questions in Mathematics

A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?

12-6x=4x+2

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

How many percent is one second out a 24 hour?

Find the measures of the sides of ∆KPL and classify each triangle by its sides k (-2,-6), p (-4,0), l (3,-1)

There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?

A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36