Question

These marbles are placed in a bag and twoof them are randomly drawn.What is the probability of drawing two yellowmarbles if the first one is NOT placed back intothe bag before the second draw?

Answer 1

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 =

`(1)/(5)*(1)/(9)=(1)/(45)`

So, the answer will be 1/45