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.

19

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.