**HIGHLINE SCHOOL DISTRICT School: _________________**

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

**2**

**Probability
and Statistics**

** **

** **

1. If you draw
four cards from a standard deck of 52 cards, what is the probability that they
will all be face cards?

_________________

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

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

mean _________________ mode
_________________

median _________________ range
_________________

3. Four CD’s
were hurriedly put into the cases without making sure they were put into the
correct cases. What is the probability
that they are all put into the correct cases?

_________________

4. An election
has the nominees shown. Assuming one
vote for each position, how many different ways can a ballot be filled out?

PRESIDENT |
VICE-PRESIDENT |
SECRETARY |

Anne Dave Amy |
Bart Ellen Jost |
Ashley Tim |

_________________

5. Twelve
people are at a gathering. If each
shakes hands with each other person, how many handshakes take place?

_________________