Exam 9: Probability

A game involves tossing two coins and receiving 46 cents if they are both tails. What is a fair price to pay for the privilege of playing, to the nearest cent?

Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. If a seven or eleven occurs on the first roll, the player wins. If a player tosses a pair of ones (called snake eyes ) on the first roll, the player loses. What is the probability of winning on the first roll? Give your answer as a fraction.

FIGURE 3. Refer to Figure 3. Suppose you and an opponent both pick one of the spinners in the figure. A win means spinning a higher number. Based on the probability of a win, which of the two spinners would you choose? \(D) plays F __________ (Answer F , D or either; it s a draw )

In a game of dice, a player loses if the outcome of the first roll is a two, three, or twelve. (This refers to the total of the two dice.) What is the probability of losing on the first roll? Give your answer as a fraction.

Find the probability of the event with odds in favor of 1 to 9. $P ( E ) = \frac { ? } { ? }$

A punch-out card contains $100$ spaces. One space pays $ $80$ , five spaces pay $ $10$ , and the others pay nothing. How much should you pay to punch out one space? $ __________

FIGURE 1. Refer to Figure 1. Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining tails or a five? Give your answer as a fraction.

Find the odds in favor of an event with the following probability: $P ( E ) = \frac { 3 } { 10 }$

Find the odds in favor of an event with the following probability: $P ( E ) = 0.87$ _____ to _____

On a single roll of a pair of dice, what is the probability that the sum is 10, given that at least one die came up 3? $P = \frac { ? } { ? }$

A single card is drawn from a standard deck of cards. Find the probability of $P ( 9 \mid \text { not a face card } )$ =

What is the probability of a family with 6 children having 6 boy(s) and 0 girl(s)? Give your answer as a fraction.

Suppose a restaurant offers the following prix fixe menu: cellpadding="0" cellspacing="0" width =69\% " border="0" Main course prime rib, steak, chicken, filet of sole, shri Side dish soup, salad, crab cakes Dessert cheesecake, ice cream, chocolate chip delight Beverage coffee, tea How many different dinners can this restaurant serve? __________ different dinners

Use estimation to select the best response. Do not calculate. Which of the following is less probable?

FIGURE 2. Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice that add to eight: $P \text { (eight) }$ Give your answer as a fraction.

Last year, a certain professor gave 59 A grades out of 849 grades. If one of the professor s students were selected randomly, what is the probability of the student receiving an A? Give the probability in decimal form (correct to two decimal places). $p \approx$ __________

A state issued license plates using the scheme of three letters followed by three numerals, and 243 letter arrangements were not allowed. How many plates could it issue? __________ plates

The campus vets club is having a raffle and is selling 3,000 tickets. If the people on the floor of your dorm bought 360 tickets, what is the probability that someone on your floor will hold the winning ticket? Give the probability in decimal form (correct to two decimal places).

Krinkles potato chips is having a Lucky Seven Sweepstakes. The one grand prize is $ $70,000$ ; $7$ second prizes each pay $ $7,000$ ; $7$ third prizes each pay $ $700$ ; and $777$ fourth prizes each pay $ $70$ . What is the expectation of this contest (rounded to the nearest cent), if there are $8$ million entries? $ __________

How many shirt-blouse outfits can a woman wear if she has 4 skirts and 5 blouses? __________ outfits