HIGHLINE SCHOOL DISTRICT

School: ___________________

SECOND YEAR MATH OLYMPIAD April 7, 2001 Team No.____
2
 Probability and Statistics

1). Amar computed the following statistics for a set of numbers: 

  Mean:   72
  Mode:   88
  Median: 65
  Range:  58
Here is the set of numbers (the last number was smudged): 
57  42  88  91  100  88  65  62  XX
What was the smudged number (XX)?       Answer:_____________

2). What is the probability of drawing a spade, a face card (king, queen, or jack), or a red card out of a standard deck of 52 cards?       Answer:_____________

3). What is the probability of throwing a sum greater than 8 with a standard pair of dice?       Answer:_____________

4). A rowing club consisting of 15 members elects a president, vice-president and treasurer. If a member can only hold one office, how many ways can a president,vice-president and treasurer be selected?

Answer:_____________

5). Alicia and her friend Amy go to the movies at the new Parkway Plaza 12 complex at Southcenter to see 2 movies together. Each of the 12 theaters shows a different movie and there are shows at 8 pm and 10 pm in each theater. How many different movie pairs can Alicia and Amy see together?

Answer:_____________