Tim Horton’s Roll up the Rim cups have a 1 in 6 chance of winning a prize. If you buy 50 cups what is the probability that:
a) You will win no prize
b) You will win exactly 1 prize
c) You will four or fewer prizes.
(Assume there are enough cups in the world that the probability of winning is independent on past cups.)
Tim Horton’s Roll up the Rim cups have a 1 in 6 chance of winning a...
If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is 1/100, what is the (approximate) probability that you will win a prize? A.) at least once? B.) exactly once? C.) at least twice? D.) How many times do you expect to win?
6.) Calculate the probability of winning the following lottery games. Express your answer as a fraction or ratio i.e. “ 1/20” or “1 out of 20” rather than decimal “0.05” or percentage “5%”. a.) Ten ping-pong balls labeled 0 through 9 will be drawn from a basket without replacement and lain out in a row. You fill in four boxes guessing which and in what order the last four ping- pong balls will be drawn. If you guess right you...
3. In a certain game of chance, you have a 3/4 chance of winning each time you play with the outcomes each time you play independent of each other). Suppose you play the game until you win for the first time. What is the probability you will win the game on the first second, or third time playing it? 4. A box of 40 fuses contains 10 fuses which are defective. If you randomly choose a collection of 5 fuses...
You are bidding on six items available on an online shopping site. You think that for each bid you have a 25% chance of winning it, and the outcomes of the six bids are independent events. Let X denote the number of winning bids out of the six items you bid on. Find the probabilities. a. Explain why the distribution of X can be modeled by the binomial distribution. b. Find the probability that you win exactly 4 bids. c....
We are going to play a game of chance. We will roll a die (half of a pair of dice) and if it comes up with one or two spots showing, you win and I will pay you $1.50. If it comes up with three, four, five, or six spots showing, you lose and you will pay me $1.20. So, the probability that you will win is 1/3 and the probability you will lose is 2/3. Your financial benefit will...
The chance of winning a lottery game is 1 in approximately 23 million. Suppose you buy a $1 lottery ticket in anticipation of winning the $6 million grand prize. Calculate your expected net winnings for this single ticket. Interpret the result. Find μ = E(x) μ=
a to d
Problem 6 10 points Consider the following simple lottery game. There are ten balls total of which five are red and numbered 1,2,3,4,5. The remaining five are blue and also numbered 1,2,3,4,5. Three balls are simultaneously pulled out from a hat, and depending on what they are, you might win a prize. (a) You win a teddy bear if all three balls are the same color. What is the probability of winning a teddy bear? (b) You...
Problem 6 10 points Consider the following simple lottery game. There are ten balls total of which five are red and numbered 1,2,3,4,5. The remaining five are blue and also numbered 1,2,3,4,5. Three balls are simultaneously pulled out from a hat, and depending on what they are, you might win a prize. () You win a teddy bear if all three balls are the same color. What is the probability of winning a teddy bear? (b) You win a baby...
PROBABLITY 2A. Suppose that there is a prize ceremony awarding prizes to 10 finalists. Each finalist is going to get exactly one prize, but assume that each has an equal probability of receiving any given prize. The grand prize is $5000, there are 2 prizes of $2000, 2 prizes of $1000 and 5 prizes of $200. Let X represent the amount of money won by one prize recipient. Find E(X), var(X) and σ for X. 2B. A pair of dice...
To win a state's lottery jackpot you have to successfully match 6 numbers chosen from the numbers 1 through 39. The lottery also pays smaller prizes if you match only 3.4 or 5 of the numbers a) What's the probability that your choices match 3 of the 6 winning numbers? b) What's the probability your ticket wins some prize? a) The probability that your choices match 3 of the winning numbers is (Round to three decimal places as needed) b)...