Part 5:

There are 1200 students at Sophie's school. One student's name will be drawn at random to win a new bike. What is the probability that Sophie will win the bike?

1. Describe the sample space for this problem.

2. Which outcome (or outcomes) of the sample space composes the event?

3. Express the probability of Sophie winning the bike as a fraction and as a decimal.

4. Describe the probability Sophie winning the bike as impossible, unlikely, neither likely nor unlikely, likely or certain. Justify your response.

4

One in 1200 are not particularly good odds. On the other hand, winning the lotto is 1 chance in 13,000,000 which if you've ever played the lotto you know that those odds are good enough to insure that if you played for the rest of your life and you are 18 not expect to live to 80 and you have 104 [given 2 draw a week] chances of winning per year, it likely won't happen. One in 1200 is better but still not good, especially with only 1 draw.

3

As a fraction her probability of winning is 1/2000 which is 0.000833333 as a decimal. You can put that in as

1

:

1200

=

if you are not sure how your calculator works.

2

Sample Space = {1,2,3,4 ... 1198,1199,1200}

The outcome depends on sophies number. Either 1 number can be chosen or all of them can.

1

The sample space is the integers from 1 to 1200 inclusive.