Suppose that 23 people are competing in an Olympic event, where first place earns Gold, second place earns Silver, and third place earns Bronze. How many different possible outcomes are there for this Olympic event?
total number of possible outcomes are there for this Olympic event =N(choose 3 from 23 and arrange them in order or rank ) =23*22*21 =10626
Suppose that 23 people are competing in an Olympic event, where first place earns Gold, second...
Eight athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? (If necessary, consult a list of formulas.) X 5 ?
Ten athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second place finisher, and a bronze medal is to be given to the third-place finisher. Assume that there are no ties. In how many possible ways can the 3 medals be distributed? (If necessary, consult a list of formulas.) X 5 ?
The Olympic Summer Games is an international multi-sport event that has been held every four years since 1896. Competitors from countries across the world compete against one another, representing their countries, in one or more sports events such as wrestling, rowing, high jump, running races, etc. Events may be separated by the sex of the competitors (male or female) or may be mixed (i.e. males and females competing with each other in the same event). At the end of each...
Suppose that 16 runners are competing in a mile-long race. Medals are awarded at the conclusion of the race to the first, second, and third place participants. How many possible ways can the medals be distributed among the runners?
You are going to select first and second place prizes out of 5 entries. How many possible outcomes are there? (Hint: order matters here)
At the State High School Track and Field Championships, Joaquin is one of seven students to qualify for the finals of the 100 Meters race. Gold, silver and bronze medals will be awarded to the first, second, and third place finishers. Considering that there can be no ties and assuming that all runners have an equal chance of success, what is the probability that Joaquin will bring home some kind of medal in this event? (HINT: How many ways could...
3. Two different events can occur called A and B. The probability that A occurs is 0.90, the probability that B is 0.70, while the probability that both occur is 0.65. Are the two events independent? What is the probability that either of the events occurs? If B occurs, what is the probability that A will occur? Sixty four athletes are to compete for an Olympic event. How many distinct ways can the three medals, gold, silver, and bronze be...
List the elements of the sample space defined by experiment. 1. a) Roll a single die and then toss a coin c) Toss two coins. 2. Use the counting principle to determine the number of elements in the sample space. Two digits are selected: a) With replacement from the digits 1, 2, 3, and 4 b) Without replacement from the digits 1, 2, 3, and 4. 3. Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.How...
120 pianists compete in a piano competition. In the first round, 30 of the 120 are selected to go on to the next round. How many different outcomes are there for the first round? a. b. In the second round, the judges select the first, second, third, fourth and fifth place winners of the competition from among the 30 pianists who advanced to the second round. How many outcomes are there for the second round of the
Hello, I need help with the following questions. Please show the step by step calculations. Thank you! Question 1: The below table details sales information from a business that sells camping gear and boating accessories. They have 3 locations. The Sales column details the probability that a random selected sale comes from that location. The boating accessory column details the probability that a sale from that location would be a boating accessory. What is the probability that a random sale...