What is the denominator of the reduced fraction representing the probability of winning Fantasy Five (a...

What is the denominator of the reduced fraction representing the probability of winning Fantasy Five (a lottery game where the winner correctly chooses five numbered balls (without regard to order) from a group of 39 numbered balls)?

Expert Solution

Here the order of selection is not important. So we will use combination.

Number of ways to select 5 numbers out of 39 = 39C5 = 39! / (5! * (39 - 5)!) = 575757 (ans)

orchestra answered 1 year ago

The denominator of a fraction is 4 more than the numerator. If both the numerator and...

The denominator of a fraction is 4 more than the numerator. If both the numerator and the denominator of the fraction are increased by 3, the new fraction is 5/6 . Find the original fraction.

The probability of winning a stake is $5. The chance of winning each stake is 50%....

The probability of winning a stake is $5. The chance of winning each stake is 50%. You plan to bet in increments of $5, $10, $20, $40, $80, $160 ($315 in total) for each consecutive loss. For each win, you start back at $5 and continue betting following the incremental bet scheme. This means you would need to win 64 times without losing 7 in a row. What is the probability of this happening?

7. Fractions You can express a fraction as a list: [numerator, denominator]. For example 1 2...

7. Fractions You can express a fraction as a list: [numerator, denominator]. For example 1 2 can be expressed as the list [1,2]. (a) Write a function called factionAdd() that takes two fractions as lists and adds them. For example, fraction([1,2], [3,4]) returns [5,4] (b) Write a function fractionMult() that multiplies two fractions that are passed as lists. [HINT: You may use the following function gcd ( x ; y ) to help you calculate the Greatest Common Divisor, which...

What is the probability of winning the lottery "6 out of 49" with a single ticket...

What is the probability of winning the lottery "6 out of 49" with a single ticket a) a “six”, b) a “five”, c) a “four”, d) a “three”, e) to score at least one “three”? f) How many bills do you have to tick to have at least one “five”?

Java Implement a class named “Fraction” with the following properties: numerator: int type, private denominator: int...

Java Implement a class named “Fraction” with the following properties: numerator: int type, private denominator: int type, private and the following methods: one default constructor which will create a fraction of 1/1. one constructor that takes two parameters which will set the values of numerator and denominator to the specified parameters. int getNum() : retrieves the value of numerator int getDenom(): retrieves the value of the denominator Fraction add(Fraction frac): adds with another Fraction number and returns the result in...

First lab: Create a Fraction class Create member variables to store numerator denominator no additional member...

First lab: Create a Fraction class Create member variables to store numerator denominator no additional member variable are allowed Create accessor and mutator functions to set/return numerator denominator Create a function to set a fraction Create a function to return a fraction as a string ( common name ToString(), toString()) in the following format: 2 3/4 use to_string() function from string class to convert a number to a string; example return to_string(35)+ to_string (75) ; returns 3575 as a string Create...

How do I fix my code? public class Fraction { private int numerator, denominator, numberOfFraction; public...

How do I fix my code? public class Fraction { private int numerator, denominator, numberOfFraction; public Fraction () { numerator = 0; denominator = 1; numberOfFraction++; } public Fraction (int n, int d) { numerator = n; denominator = d; numberOfFraction++; } private int gcd (int num1, int num2) { if (num1 == 0) return num2; return gcd (num2 % num1, num1); } public Fraction add (Fraction third) { int n = numerator * third.denominator + third.numerator * denominator; int...

The probability of winning a raffle with a single ticket is 1 in 400,000,000. In May...

The probability of winning a raffle with a single ticket is 1 in 400,000,000. In May and June, 200,000,000 tickets were bought for the raffle. 1. Assume the tickets win or lose independently of each other and give the exact probability that there was no winner during the two months. 2. Only using a basic scientific calculator, give an approximation to the same question from part 1. Explain why this approximation is a good one. Explain your work please.

Suppose in the gambler’s ruin problem that the probability of winning a bet depends on the...

Suppose in the gambler’s ruin problem that the probability of winning a bet depends on the gambler’s present fortune. Specifically, suppose that αi is the probability that the gambler wins a bet when his or her fortune is i. Given that the gambler’s initial fortune is i, let P(i) denote the probability that the gambler’s fortune reaches N before 0. (a) Derive a formula that relates P(i) to P(i − 1) and P(i + 1). (b) Using the same approach...

The probability of winning on a lot machine is 5%. If a person plays the machine...

The probability of winning on a lot machine is 5%. If a person plays the machine 500 times, find the probability of winning 30 times. Use the normal approximation to the binomial distribution. A travel survey of 1500 Americans reported an average of 7.5 nights stayed when they went on vacation. Find a point estimate of the population mean. If we can assume the population standard deviation is 0.8 night, find the 95% confidence interval for the true mean. SHOW...

Question