Exam 11: Probability

Use the table to find the probability. -The following table contains data from a study of two airlines which fly to Small Town, USA. Number of flights arrived on time Number of flights arrived late Podunk Airlines 33 6 Upstate Airlines 43 5 If a flight is selected at random, find the probability that the flight is on Upstate Airline given the flight is late.

Solve the problem. -In how many ways can 4 people be chosen and arranged in a straight line, if there are 12 people From whom to choose?

Find the probability. Round to the nearest ten-thousandth when necessary. -A coin is biased to show 44% heads and 56% tails. The coin is tossed twice. What is the probability That the coin turns up tails on both tosses?

Solve the problem. -Use a tree diagram showing all possible results when a die is rolled twice to list the ways of getting Exactly one die showing a 3.

Solve the problem. -There are 3 balls in a hat; one with the number 1 on it, one with the number 4 on it, and one with The number 7 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. Then, find the probability that the number On the ball is greater than 6.

Solve the problem. -The odds in favor of Carl beating his friend in a round of golf are 8 : 5. Find the probability that Carl Will lose.

Find the probability -If you are dealt two cards successively (with replacement of the first) from a standard 52-card Deck, find the probability of getting a face card on the first card and an ace on the second.

Find the probability. -A card is drawn at random from a standard 52-card deck. Find the probability that the card is an Ace or not a club.

Solve the problem. -How many different three-digit numbers can be written using digits from the set {2, 3, 4, 5, 6} Without any repeating digits?

Estimate the indicated probability. -The Amboy Kennel Club has held an annual dog show for the last 48 years. During this time the Winner of ʺBest of Showʺ has been an Alaskan Malamute 24 times, a Great Pyrenees 3 times, and An Siberian Husky 21 times. Determine the empirical probability that the next winner of ʺBest of Showʺ will be a Great Pyrenees.

Solve the problem. -Find the expected number of girls in a family of 3 children.

Find the probability. -A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on An even number or a multiple of 3?

Solve the problem. -How many ways can the letters in the word ʺWISCONSINʺ be arranged?

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

Find the probability. -A fair die is rolled. What is the probability of rolling a 3 or a 6?

Solve the problem. -If it has been determined that the probability of an earthquake occurring on a certain day in a Certain area is 0.01, what are the odds against an earthquake?

Evaluate the expression. - $\frac { { } _ { 7 } C _ { 4 } } { { } _ { 7 } C _ { 2 } }$

Find the probability. Round to the nearest ten-thousandth when necessary. -A family has five children. The probability of having a girl is 1/2. What is the probability of having No girls?

Solve the problem. -If two fair dice are rolled, find the probability of a ʺdoubleʺ given that the sum is 11.

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 with replacement. Using a tree diagram , obtain the sample space for the Experiment. Then, find the probability that you choose the same card twice.