A bag contains 2 red pens, 4 blue pens, 3 black pens, and 1 green pen. Once a pen is selected, it is replaced, and then another pen is selected. Determine P(blue and blue)

Given:

A bag contains 2 red pens, 4 blue pens, 3 black pens, and 1 green pen.

Once a pen is selected, it is replaced, and then another pen is selected.

To find:

The probability of getting blue pens in both draws, i.e., P(blue and blue).

Solution:

We have,

Number of red pens = 2

Number of blue pens = 4

Number of black pens = 3

Number of green pen = 1

Total number of pens =

                                    =

The probability of getting a blue pen is:

Once a pen is selected, it is replaced, and then another pen is selected. So, after replacement the probability of getting a blue is remains the same.

Therefore, the value of is 0.16.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

9x