SOLUTION: 1. Katrina, Eduardo, Ian, Jim, Sergio, Sarah, Simone, and Larry have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. a. In

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 1. Katrina, Eduardo, Ian, Jim, Sergio, Sarah, Simone, and Larry have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. a. In       Log On


   



Question 619121: 1. Katrina, Eduardo, Ian, Jim, Sergio, Sarah, Simone, and Larry have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.
a. In how many ways can they arrive?
b. In how many ways can Katrina arrive first and Larry last?
c. Find the probability that Katrina will arrive first and Larry last.
2. A group consists of six men and six women. Four people are selected to attend a conference.
a. The number of ways to select four people from the group of twelve is________
b. The number of ways to select four women from the group of six women is__________
c. The probability is____________
3. To play a certain lottery, a person has to correctly select 6 out of 56 numbers, paying $1 for each six-number selection. If the six numbers are the same as the ones drawn by the lottery, mountains of money are bestowed.
a. What is the probability that a person with one combination of six numbers will win?
b. What is the probability of winning if 100 different lottery tickets are purchased?
4. If one person is randomly selected from the population represented in the bar graph, find the odds in favor and the odds against that person being in the Navy.
Bar graph: Men--->army: 420,000
Women--->army:10,000
Men---->Navy: 320,000
Women--->Navy: 60,000
Men---->Air force:300,000
Women---->Air force: 70,000
Men----->Marines: 170,000
Women---->Marines: 80,000
The odds in favor are_______________
The odds against are_______________

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