Exam 11: Probability

Use the counting principle to obtain the answer. -The frequency setting for a garage door opener is determined by the positions of ten switches, each Of which can be set to a ʺ+ʺ or ʺ-ʺ position. In how many ways can the switches be set?

Estimate the indicated probability. -The table shows the number of college students who prefer a given pizza topping. toppings freshman sophomore junior senior cheese 14 15 22 21 meat 24 21 15 14 veggie 15 14 24 21 Determine the empirical probability that a student prefers meat toppings. Round to the nearest Thousandth.

Solve the problem. -A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the Committee can have at most two girls?

Find the probability. -Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a Ticket from the box, what is the probability that you will draw 7, 8, or 1?

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

Solve the problem. -Assume that a person spins the pointer and is awarded the amount indicated if the pointer points To a positive number but must pay the amount indicated if the pointer points to a negative Number. Determine the personʹs expectation.

Evaluate the expression. - ${ } _ { 9 } \mathrm { P } _ { 6 }$

Solve the problem. -In how many ways can a group of 7 students be selected from 8 students?

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. -Straight (5 in a row, but not a straight flush)

Solve the problem. -The odds in favor of Jerome beating his friend in a round of golf are 1 : 7. Find the probability that Jerome will beat his friend.

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 a king and a queen are selected.

Find the probability. -A card is drawn at random from a standard 52-card deck. Find the probability that the card is not A queen.

Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45 -minute tours are offered at each attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time . -In how many ways could the traveler schedule two of the three tours in one day?

Solve the problem. -Find the expected number of girls in a family of 5 children.

Use the counting principle to obtain the answer. -A shoe store carried one brand of shoe in 3 styles, 4 sizes, and 4 colors. How many types of shoes Were available for this one brand?

Use the counting principle to obtain the answer. -At a lumber company that sold shelves, a customer could choose from 3 types of wood, 4 different Widths and 5 different lengths. How many different types of shelves could be ordered?

Solve the problem. -The odds in favor of a horse winning a race are posted as 4 : 3. Find the probability that the horse Will win the race.

Find the probability. Round to the nearest ten-thousandth when necessary. -A coin is biased to show 45% heads and 55% tails. The coin is tossed twice. What is the probability That the coin turns up heads once and tails once?

Find the probability. -The chart below gives the cost and number of vehicle tags sold in each city. City Cost of Vehicle Tag Number of Vehicle Tags Sold Bristol \ 8 1899 Trevor \ 10 3321 Camp Lake \ 7 2697 Salem \ 15 1523 Paddock Lake \ 12 2,541 One car is selected at random from the cars with vehicle tags from these cities. What is the Probability that this car has a vehicle tag that cost less than $10? Round to the nearest Ten-thousandth when necessary.

Solve the problem. -There are 9 horses in a race. In how many ways can the first three positions of the order of the Finish occur? (Assume there are no ties.)