15 names are in a hat, 6 girls and 9 boys. What is the probability of drawing, without replacement, two girls names in a row?
2 Answers
Explanation:
There is a total of 15 names in the hat.
First, you pull one name. The odds of this name being a girl are
Next, you'll pull out a second name but the odds have changed.
The new odds of drawing a girls' name are
The odds of you drawing a second girls' name is
Take both of these odds (
The final answer should be
Explanation:
An alternate way to work this is to calculate the number of ways 2 girls's names can be pulled and divide that by the total number of ways 2 names can be pulled. We're working with combinations (we don't care in what order the names are pulled) and the general formula is:
So we'll have: