Chapter 4

In how many ways can the letters in the word 'Combination' be arranged?

4989600 special permutations

Decide if the following probability is classical, empirical, or subjective. You believe you have a 16 chance of rolling a 1 on a six-sided die.

Classical

When do you use the conditional multiplication formula?

when you see "given"

A coin is tossed 10 times. What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

1/2^10=1/1024

Given that every thirteenth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don't get a coupon when you're in line? Enter a fraction or round your answer to 4 decimal places, if necessary.

12/13 complement rule

You need to have a password with 6 letters followed by 2 odd digits between 0 and 9 , inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?

26P6*5P2

A box contains 11 large marbles and 15 small marbles. Each marble is either green or white. 3 of the large marbles are green, and 10 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or green? Express your answer as a fraction or a decimal number rounded to four decimal places.

addition rule~!!!!!

Determine if the following events are independent. Forgetting to set your alarm. Being late to class.

dependent

Decide if the following probability is classical, empirical, or subjective. You calculate that the probability of randomly choosing a student who is right-handed is about 54% .

empirical

Suppose that 6 out of the 23 doctors in a small hospital are General Practitioners, 11 out of the 23 are under the age of 50, and 5 are both General Practitioners and under the age of 50. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 50? Enter a fraction or round your answer to 4 decimal places, if necessary.

.5217 use the addition rule

Out of 445 applicants for a job, 228 have over 5 years of experience and 103 have over 5 years of experience and have a graduate degree. Step 2 of 2 : Consider that 141 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 5 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary.

.7305

A box contains 15 green marbles and 17 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble? Express your answer as a fraction or a decimal number rounded to four decimal places.

16/31

A coordinator will select 5 songs from a list of 11 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

55440 permutations

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 14 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Sarah, and Mark are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.

1/(14C3)= .0027

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 5 Pennies 28 Dimes 17 Nickels 6 Quarters What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a quarter? Express your answer as a fraction or a decimal number rounded to four decimal places.

.0006

You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 2 toppings? Express your answer as a fraction or a decimal number rounded to four decimal places.

21/128