The game called lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 5 of the 32 possible numbers. Assume there are 32 ping-pong balls each with a s
Question:
The game called lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 5 of the 32 possible numbers. Assume there are 32 ping-pong balls each with a single number between 1 and 32. Any number appears only once, and the winning balls are selected without replacement. Round all answers to 8 decimal places.
a. The commission reports that the probability of matching all the numbers are 1 in 201,376. What is this in terms of probability?
b. Use the hypergeometric formula to find the probability of matching all 5 winning numbers. The lottery commission also pays if a contestant matches 3 or 4 of the 5 winning numbers. Hint: Divide the 32 numbers into two groups, winning numbers, and nonwinning numbers.
c. Find the probability, again using the hypergeometric formula, for matching 3 of the 5 winning numbers.
d. Find the probability of matching 4 of the 5 winning numbers.
Answers (1)
-
Erma April 3, 2023 в 08:27a. The probability of matching all 5 numbers is 1 in 201,376. This means that out of 201,376 possible outcomes, only one is a winning combination. b. Using the hypergeometric formula, with 5 winning numbers and 27 nonwinning numbers, the probability of matching all 5 winning numbers is: P(X=5) = (5 choose 5) * (27 choose 0) / (32 choose 5) = 1/201,376 = 0.0000049588 To find the probability of matching either 3 or 4 of the 5 winning numbers, we can use the same formula with different values of X: P(X=3) = (5 choose 3) * (27 choose 2) / (32 choose 5) = 0.0067658995 P(X=4) = (5 choose 4) * (27 choose 1) / (32 choose 5) = 0.000261745 c. The probability of matching 3 of the 5 winning numbers is: P(X=3) = (5 choose 3) * (27 choose 2) / (32 choose 5) = 0.0067658995 d. The probability of matching 4 of the 5 winning numbers is: P(X=4) = (5 choose 4) * (27 choose 1) / (32 choose 5) = 0.000261745
- Ссылка
Do you know the answer?
Not sure about the answer?
Find the right answer to the question The game called lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 5 of the 32 possible numbers. Assume there are 32 ping-pong balls each with a s by subject Math, and if there is no answer or no one has given the right answer, then use the search and try to find the answer among similar questions.
Search for other answers
New questions in the category: Math
What does dx/dx mean?
Answers (1)
The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon book, the fare is reduced to $1.00.Determine the number of times
Answers (1)
A roll of aluminum wire is used to make finishing nails (nails that do not have heads). If the nails are 5.00cm long and 0.300cm in diameter and the roll of wire has a mass of 225kg, how many nails can be made from one roll?
Answers (0)
Evaluate the function f(x)=x^2+6x-9 at the given values of the independent variable and simplify. a. f(-6) b. f(x+9) c. f(-x)
Answers (1)
Solve the equation for the indicated variable. \frac{a + 5}{b} = \frac{a – 5}{b} + \frac{b + 5}{a}; for a
Answers (1)
An airplane has a speed 590 km/h . If a wind begins blowing from the southwest at a speed of 94.9 km/h (average). In what direction should the pilot aim the plane so that it will fly due south?
Answers (0)
The total scores on the Medical College Admission Test (MCAT) follow a Normal distribution with mean 24.4 and standard deviation 6.2 . What are the median and the first and third quartiles of the MCA
Answers (2)
Find the slope and y-intercept of the line y = 6x-4.
Answers (1)
Rewrite the \quadratic function in standard form and give the vertex. f(x) = x^2 + 5x + 5 y = boxed{space} (x – boxed{space})^2 + boxed{space}
Answers (1)
Solve the compound inequality: 3x – 5 greater than -17 and 4x + 3 less than 15.
Answers (1)
What is a mathematical phrase?
Answers (1)
What is the supplement of a 40-degree angle?
Answers (1)
A banana peel weighs 1/8 the total weight of a banana. If an unpeeled banana balances a peeled banana of the same weight plus 7/8 of an ounce, how much does the banana weight with the peel?
Answers (0)
In a departmental store one cashier is there to serve the customers. And the customers pick up their needs by themselves. The arrival rate is 9 customers for every 5 minutes and the cashier can serve 10 customers in 5 minutes. Assuming Poisson arrival rat
Answers (1)
How do you add three fractions with whole numbers?
Answers (1)
Solve 2x – 7 = 6x – 15
Answers (1)
What are examples of things weigh more than a ton?
Answers (1)
If 2x – 3y = 11 and 3x + 15 = 0, what is the value of y?
Answers (1)
The average hourly wage of plumbers is normally distributed with a mean of $34.00 and a standard deviation of $6.00. Calculate each of the following: a. the proportion of plumbers earning between $18 and $22 b. the proportion of plumbers earning more than
Answers (1)
Use the differential to \approx imate the radical expression. Then use a calculator to \approx imate the quantity, and give the absolute value of the difference in the two results to 4 decimal places. squ
Answers (1)
Authorization
Password generation
Leave a comment