Given the figure of marbles:
As shown, the number of marbles = 10
Two marbles are randomly drawn
We will find the probability of drawing two yellow marbles
The probability the first marble is yellow:
The number of yellow marbles = 2
so, the probability the first marble is yellow = 2/10 = 1/5
The first one is NOT placed back into the bag before the second draw
So, the number of marbles = 10 - 1 = 9
The number of yellow marbles = 2 - 1 = 1
So, the probability the second marble is yellow = 1/9
So, the probability of drawing two yellow =
[tex]\frac{1}{5}\times\frac{1}{9}=\frac{1}{45}[/tex]
So, the answer will be 1/45
