Given:
Total number of jewels = 1000
Emeralds = 600
Sapphires = 300
Rubies = 100 rubies
100 jewels she took randomly.
To find:
The probability that all 100 jewels she took were sapphires.
Solution:
Number of selected jewels = 100
Total number of jewels = 1000
We have to select 100 out of 1000.
So, the total number of outcomes

Number of sapphires = 300
We have to select 100 out of 300 sapphires .
So, the favorable outcomes

Now,


Therefore, the required probability is
.