HIGHLINE SCHOOL DISTRICT                                                      School:   _________________

FIRST YEAR MATH OLYMPIAD  March 25, 2000

 1

Team Number:  ___________

Probability and Statistics

1.         What is the probability of rolling a sum of 9 with 2 fair dice?

_________________

2.         If you draw two cards from a standard deck of 52 cards, what is the probability that they will both be face cards?

_________________

3.         Students in Mrs. Ashley’s English class had to pick 2 of the 4 Shakespeare plays below to read. Assuming the students chose randomly, what is the probability of a student choosing both Hamlet and Macbeth?

Hamlet                                    Macbeth

Othello                                    Julius Caesar

_________________

4.         Find the mean, mode, median, and range of this data set.

40, 15, 18, 26, 15, 42, 18, 15, 9

mean  _________________          mode  _________________

median  _________________       range  _________________

5.         I have a bag of marbles with 7 green marbles, 11 blue marbles, and 8 red marbles.  What is the probability of drawing 2 red marbles at random out of this bag?