Question

In a lottery, a player selects 7 numbers out of the first 100 positive integers. We...

In a lottery, a player selects 7 numbers out of the first 100 positive integers. We want to find the probability that a person wins the grand prize by picking 7 numbers that are among the 11 numbers selected at random by a computer.

  1. a) What is the experiment?

  2. b) What is the sample space?

  3. c) What is the size of the sample space?

  4. d) Describe the event that we are interested in, E7,11.

  5. e) What are some outcomes of the sample space that belongs to E7,11.

  6. f) What is the size of the E7,11?

  7. g) What is the probability of E7,11?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and...
A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and a sixth integer between 1 and 26, which may duplicate one of the earlier five integers. The player wins the jackpot if all six numbers match the numbers drawn. a) What is the probability that a player wins the jackpot? b) What is the probability that a player wins $1,000,000, which is the prize for matching the first five numbers, but not the sixth...
In the lottery game called 5/21, a player picks five numbers from 1 to 21. Enter...
In the lottery game called 5/21, a player picks five numbers from 1 to 21. Enter all answers as a decimal (not a percent), rounded to five decimal places. a) If all five of the numbers match the ones that are drawn, the player wins first prize. What is the probability of winning this prize? b) If four of the five numbers match the ones that are drawn, but the other number doesn't match, the player wins second prize. What...
In a lottery of 5 different numbers are chosen from the first 90 positive integers. a)...
In a lottery of 5 different numbers are chosen from the first 90 positive integers. a) How many possible outcomes are there? (An outcome is an unordered sample of five numbers) b)How many outcomes are there with the number 1 appearing among the five chosen numbers? c) How many outcomes are there with two numbers below 50 and three numbers above 60? d)How many outcomes are there with the property that the last digits of all five numbers are different?...
In the Powerball® lottery, the player chooses five numbers from a set of 69 numbers without...
In the Powerball® lottery, the player chooses five numbers from a set of 69 numbers without replacement and one “Powerball” number from a set 26 numbers. The five regular numbers are always displayed and read off in ascending order, so order does not matter. A player wins the jackpot if all six of the player’s numbers match the six winning numbers. a. How many different possible ways are there to select the six numbers? b. How many tickets would someone...
1)A lottery consists of selecting 6 numbers from among the numbers 1 to 53. A player...
1)A lottery consists of selecting 6 numbers from among the numbers 1 to 53. A player wins the jackpot if they match all 6 numbers. What is the probability of winning the jackpot with this lottery? 2)Write the negation for the following argument. All irreducible quadratics can be expressed as a sum of the square. some congressional representative do not take bribes.
In a certain state lottery, each player selects 5 numbers from 1 through 70. Then 5...
In a certain state lottery, each player selects 5 numbers from 1 through 70. Then 5 winning numbers are chosen from the same range. What is the probability that a given ticket has all 5 numbers correct?
7-If you select one card from a 52-card deck, find the probability it is greater than...
7-If you select one card from a 52-card deck, find the probability it is greater than 3 and less than 8. 8. Six movies (A, B, C, D, E, F) are being shown in random order. Find the probability that B will be shown first, F second, and D last. 9. In a lottery, six different numbers from 1-30 are drawn. A player buys 1000 lottery tickets, all with different sets of numbers. What is the probability this player wins...
Choosing Lottery Numbers: In the Super-Mega lottery there are 50 numbers (1 to 50), a player...
Choosing Lottery Numbers: In the Super-Mega lottery there are 50 numbers (1 to 50), a player chooses ten different numbers and hopes that these get drawn. If the player's numbers get drawn, he/she wins an obscene amount of money. The table below displays the frequency with which classes of numbers are chosen (not drawn). These numbers came from a sample of 180 chosen numbers. Chosen Numbers (n = 180) 1 to 10 11 to 20 21 to 30 31 to...
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the...
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the ordered pair (number of dots on the first die, number of dots on the second die), write down the sample space for the experiment. (So a roll of “1 dot” on the first die and a roll of “3 dots” on the second die would be the ordered pair (1, 3) in the sample space S.) You can think of the first die as...
Conducting a Simulation For example, say we want to simulate the probability of getting “heads” exactly...
Conducting a Simulation For example, say we want to simulate the probability of getting “heads” exactly 4 times in 10 flips of a fair coin. One way to generate a flip of the coin is to create a vector in R with all of the possible outcomes and then randomly select one of those outcomes. The sample function takes a vector of elements (in this case heads or tails) and chooses a random sample of size elements. coin <- c("heads","tails")...