Question

There are 1200 students at Sophie’s school. One student’s name will be drawn at random to win a new bike. Hannah and Ethan are Sophie’s best friends. What is the probability that Sophie, Hannah, or Ethan will win the bike?

Answer 1

Hi Mackenzie.

Given that we have a probability question with the term "or", we are going to be adding individual probabilities.
We have Ethan, Hannah, and Sophie all included with the drawing.
This means we need to add each of their individual probabilities, 1/1200, together.

1/1200 + 1/1200 + 1/1200 = 3/1200;
To simplify: 1/400

Your answer is:
The probability of Ethan, Hannah, or Sophie being drawn is 1/400.

I hope this helps!