Exam 9: Probability

Use the results of the fruit fly experiment in the table to find the probability (rounded to the nearest hundredth). cellpadding="0" cellspacing="0" width="74\%" border " Fruitflies after Radiation Exposure Mutated Normal Total Male 181 152 333 Female 247 420 667 Total 428 572 1,000 __________

Find the probability of the event with odds against it 1 to 2.

FIGURE 1. Refer to Figure 1. What is the expectation for the $ $8$ bet on a single number on a U.S. roulette wheel? Round the answer to the nearest hundredth.

Find $P ( \bar { B } )$ if $P ( B ) = 0.05$ .

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 tossing a seven on the first roll?

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 $1$ million entries?

Complete the list. cellpadding $=0 "$ cellspacing $=0 "$ width $=47 \%$ " border="0"> Experiment: Card game Success: Drawing a spade $P$ (success): $0.22$ P(failure): ____________

Consider the following game in which a player rolls a single die. If an odd number is rolled, it costs the player $4. If a 2 or a 4 is rolled, the player wins $2. However, if the player rolls a perfect number (6), the player wins $7. Is this a good deal for the player or not? Answer It is a good deal or It is not a good deal.

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

A box contains one each of $1, $5, $10, $50, and $100 bills. You reach in and withdraw one bill. What is the expected value? $ __________

A box contains one each of $1, $5, $20, $50, and $100 bills. It costs $30 to reach in and withdraw one bill. What is the expected value? $ __________

Suppose that you randomly pick a digit 0 through 9. You will be paid $ $5$ if you select a prime number. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of playing this game, to the nearest cent?

A history teacher gives an 10-question true-false exam. In how many different ways can the test be answered, if the possible answers are true or false?

FIGURE 2. Refer to Figure 2. Use the sample space shown in the figure to find the probability of rolling two dice and having the sum be even. Give the answer as an exact fraction. P (even)

When the expected value of a game is a negative amount of money, is the game favorable to the player? Explain.

A single card is selected from an ordinary deck of cards. The sample space is shown in the figure below. Find the probability P ( red face card )

If the expected value of a game is a positive dollar amount, the game is favorable to the player.

In your mathematics class, there are 28 students who attended class on the first day of the semester. 19 of the students brought a calculator to class that first day. If a student is randomly selected, what is the probability that student did not bring a calculator the first day?

Find $P(\bar{C})$ if $\rho \left( C) = 0.003 \right.$ .

Suppose that you have 13 quarters, 5 dimes, 5 nickels, and 6 pennies in your pocket. You reach in and choose a coin at random. What is the expected value? $ __________ What type of coin is most likely to be picked? __________