**HIGHLINE SCHOOL DISTRICT School: _________________**

**FIRST YEAR MATH OLYMPIAD March 25, 2000**

**1**

**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?