Statistics and Probability Answers

Your favorite team is in the final playoffs. You have assigned a probability of 60% that they will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 70% of the time. When they lose the series, they win the first game 25% of the time. The first game is over; your team has lost. What is the probability that they will win the series?

Wendy has a special pair of dice. One each die 1 face is labeled head and 2 faces are labeled tail & the other three faces are labeled arm. If Wendy tosses the pair of dice, what is the probabilities she will get exactly 1 head and 1 arm?
If Wendy tosses her special pair of dice what is the probability that she will see at least 1 tail in the results?

A contestant pays $5 to play the follwing carnival game. They roll two 6-sided dice and win an amount of dollars equal to the sum of the two numbers shown.(i.e. if they roll a 3 and a 6 they win $9)Calculate the expected value of the game. If a contestant plays 10 times how much can they expect to win/lose?(You must state if these are winnings or loses.)

Dr. Stallter has been teaching basic statistics for many years, she knows that 80 percent of the students will complete the assigned problems. She also has determined that among those who completed their assignments, 90 percent will pass the course. Among those students who do not do their homework, 60 percent will pass. Mike Fishbaugh took statistics last semester from Dr. Stallter and received a passing grade. What is the probability that he completed the assignments?

The probability of a cricket match to be played between India and Sri Lanka at one of the three selected venues X,Y and Z are 0.25, 0.35 and 0.40 respectively. The probability that the match being disturbed at these three venues are 0.05, 0.04 and 0.02 respectively. A match is played and disturbed, what is the probability that the match was played at X?

a school photocopier has a 95% chance of working on any particular day. Draw a tree diagram showing the possibiltiies for the working or otherwise of the photocopier over 2 consecutive days. Hence, determine the likelihood that it will be working on at least one of these days.

If I buy 4 tickets in a 500 ticket lottery, determine the probability that I win: a) the first 3 prizes b) at least one of the 3 prizes.

each time Mae and Richard play chess, Mae has probability of 4/5 that she wins. If they play 5 games, determin the probability that a) Mae wins 3 games b) Mae wins either 4 or 5 games.

A contractor decided to build homes that will include the middle 80% of the market. If the average size of the hoomes built is 1810 square feet, find the maximum and minimum sizes of the homes the contractor should build. Assume that the standard deviation is 92 square feet and the variable is normally distributed.

The Probability that a first-time tourist to the city of chicago will visit the Art Institute is 0.4, will visit the museum of science and industry is 0.3, and will visit both is 0.1 assume a first-tiem tourist to chicago is randomly selected. Find the probaability that the tourist will visit the art institute or museum of science and industry?