Exam 11: Probability

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -The second marble is blue given the first marble is white.

Find the probability. -One digit from the number 7,868,558 is written on each of seven cards. What is the probability of Drawing a card that shows 5?

Solve the problem. -Use a tree diagram showing all possible results when four fair coins are tossed to list the ways of Getting exactly two tails.

Solve the problem. -If two cards are drawn without replacement from a deck, find the probability that the second card Is an ace, given that the first card was an ace.

Solve the problem. -In a raffle, one thousand tickets are sold. There is a grand prize of $6000, a second prize of $400, And a third prize of $100. What ticket price would make this game fair?

Find the probability. -What is the probability that 20 rolls of a fair die will show 8 threes? Round to the nearest Ten-thousandth.

Solve the problem. -If a single fair die is rolled, find the probability of a 5 given that the number rolled is odd.

Find the probability. -A lottery game has balls numbered 0 through 9. What is the probability of selecting an even Numbered ball or a 5?

Use the counting principle to obtain the answer. -A restaurant offered salads with 2 types of dressings and 3 different toppings. How many different Types of salads could be offered?

Estimate the indicated probability. -The Amboy Kennel Club has held an annual dog show for the last 30 years. During this time the Winner of ʺBest of Showʺ has been an Alaskan Malamute 15 times, a Great Pyrenees 3 times, and An Siberian Husky 12 times. Determine the empirical probability that the next winner of ʺBest of Showʺ will be a Siberian Husky.

Find the probability. -A bag contains 19 balls numbered 1 through 19. What is the probability of selecting a ball that has An even number?

Solve the problem. -How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an ordinary 52-card deck?

Solve the problem. -There are 3 balls in a hat; one with the number 2 on it, one with the number 4 on it, and one with The number 8 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree Diagram , obtain the sample space for the experiment. List the elements that make up the sample Space.

Find the probability -A basketball player hits three-point shots 45% of the time. If she takes 4 shots during a game, what Is the probability that she misses the first shot and hits the last three shots? Round to the nearest Tenth of a percent when necessary.

Solve the problem. -Suppose you pay $2.00 to roll a fair die with the understanding that you will get back $6.00 for Rolling a 6 or a 2, nothing otherwise. What are your expected winnings?

Solve the problem. -Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $3.00 for Rolling a 6 or a 5, nothing otherwise. What is your expected net winnings?

Solve the problem. -A signal is made by placing 3 flags, one above the other, on a flag pole. If there are 7 different flags Available, how many possible signals can be flown?

Find the probability. -In a certain college, 33% of the physics majors are ethnic minorities. A random sample of 10 Physics majors is chosen. Find the probability that 2 or less are ethnic minorities. Round to the Nearest ten-thousandth.

Solve the problem. -There are 3 cards in a hat; one is a King, one is a Queen, and one is an Ace. Two cards are to be Selected at random without replacement. Using a tree diagram , obtain the sample space for the Experiment. List the elements that make up the sample space.

Solve the problem. -In a game, you have a 1/21 probability of winning $107 and a 20/21 probability of losing $5. What Is your expected winning?