What is the probability that for a randomly chosen natural number k, there is a Fibonacci...

Question

Question

What is the probability that for a randomly chosen natural number k, there is a Fibonacci number between 2k and 3k?

Answer 1

Answer #1

FIbonacci nomber of 18 is 1597

FIbonacci nomber of 19 is 2584

FIbonacci nomber of 20 is 4181

means only one febonacci number present in 2k to 3k.

So p=1.0 (100% chance ) probabilty to select randomly choosen natura number k..

thank you...

Answer 2

Similar Homework Help Questions

QUESTION 1 A number is randomly chosen between 1 and 99. What is the probability that...

QUESTION 1 A number is randomly chosen between 1 and 99. What is the probability that the number is not a multiple of 9? 1 ОА 9 29 OB. 33 10 OC. 99 8 OD. 9
Show that ∆k (Fn) = Fn−2k where Fn is the n-th Fibonacci number

Show that ∆k (Fn) = Fn−2k where Fn is the n-th Fibonacci number Show that Δ"(Fn) = Fn-2k where Fn is the n-th Fibonacci num- ber. Show that Δ"(Fn) = Fn-2k where Fn is the n-th Fibonacci num- ber.
52,58.6,86,86.5,91,96,96,98,100,105,109 1-What is the probability that a randomly selected number among these data is between 95...

52,58.6,86,86.5,91,96,96,98,100,105,109 1-What is the probability that a randomly selected number among these data is between 95 and 100 exclusive of the ends? 2-What is the probability that a randomly chosen number among these data points is not a multiple of 4? 3-What is the probability that a randomly chosen number among these data points is an even number given that it is a multiple of 4?

What is the probability that a randomly chosen four letter word will begin with HA

What is the probability that a randomly chosen four letter word will begin with HA
Each of k jars contains m white and n black balls. A ball is randomly chosen...

Each of k jars contains m white and n black balls. A ball is randomly chosen from jar 1 and transferred to jar 2, then a ball is randomly chosen from jar 2 transferred to jar 3, etc. Finally, a ball is randomly chosen from jar k. Show that the probability that the last ball is white is the same as the probability that the first ball is white, i.e., it is m/(m+n) . (Hint: Prove the result for K=2...
what is the probability that a randomly chosen person has their birthday: a) in july b)...

what is the probability that a randomly chosen person has their birthday: a) in july b) in january or february? thanks

The probability of having a sibling is 80%. For 6 randomly chosen people, what is the...

The probability of having a sibling is 80%. For 6 randomly chosen people, what is the probability that 5 OR MORE of them have a sibling? Give your answer as 0.XX
If the probability that a randomly chosen college student takes a math class is 0.42, then...

If the probability that a randomly chosen college student takes a math class is 0.42, then what is the probability that a randomly chosen college student does not take a math class? Give your answer as a decimal.
Here is the probability model for the blood type of a randomly chosen person in the...

Here is the probability model for the blood type of a randomly chosen person in the United States. Blood type AB 0 А Probability 0.42 0.15 0.05 0.38 What is the probability that a randomly chosen American does not have type o blood? % Round to the nearest 0.0196 Question Help: D Post to forum Submit Question

Let n be an even positive integer. What is the probability that a randomly chosen n-bit string ha...

Let n be an even positive integer. What is the probability that a randomly chosen n-bit string has the same number of zeros and ones? (Please show work)