A lottery exists where balls numbered 1 to 17 are placed in an urn. To win, you must match the five balls chosen in the correct order. How many possible outcomes are there for this game?
A lottery exists where balls numbered 1 to 17 are placed in an urn. To win,...
3. An urn contains five white balls numbered from 1 to 5, five red balls numbered from 1 to 5 and five blue balls numbered from 1 to 5. For each of the following questions, please give your answer first in the form that reflects your counting process, and then simplify that to a number. You must include the recipes. No other explanation needed. (a) In how many ways can we choose 4 balls from the urn? (b) in how...
8. In a lottery, 6 balls are drawn randomly from a set of 49 balls numbered 1, 2, . . . , 49. You choose 6 numbers on your ticket, and you win if you have the same 6 numbers as the numbers of the balls that are drawn. It does not matter if your numbers are in the same order as the order the balls are drawn (order does NOT matter). We consider two different lottery rules in the...
Five balls, numbered 1, 2, 3, 4, and 5, are placed in an urn. Two balls are randomly selected from the five, and their numbers noted. Find the probability distribution for the following:a) The largest of the two sampled numbersb) The sum of the two sampled numbers
Problem 3: An urn contains 17 balls marked LOSE and 3 balls marked WIN. You and an opponent take turns selecting a single ball at random from the urn without replacement. The person who selects the third WIN ball wins the game. It does not matter who selected the first two WIN balls. (c) If you draw first, what is the probability that you win? Hint: You could win on your second, third, fourth, . . . , or tenth...
The Powerball lottery is played twice each week in 44 states, the District of Columbia, and the Virgin Islands. To play Powerball, a participant must purchase a $2 ticket, select five numbers from the digits 1 through 69, and then select a Powerball number from the digits 1 through 26. To determine the winning numbers for each game, lottery officials draw 5 white balls out a drum of 69 white balls numbered 1 through 69 and 1 red ball out...
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...
In a new lottery game, you must pick 6 numbers, chosen from 1-64. You win a prize if your numbers match at least 4 of the numbers drawn. How many ways can a winning ticket have 4 correct (and two incorrect) numbers?
An urn contains three red balls numbered 1, 2, 3, five white balls numbered 4, 5, 6, 7, 8, and two black balls numbered 9, 10. A ball is drawn from the urn. (Enter your probabilities as fractions.) (a) What is the probability that it is red? (b) What is the probability that it is odd-numbered? (c) What is the probability that it is red and odd-numbered? (d) What is the probability that it is red or odd-numbered? (e) What is the probability that it...
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4. Identical balls numbered 1 thru 100 are placed in an urn. 2 are drawn at random. What is the probability of getting a consecutively numbered pair?