Terri has 7 pens in a box.
2 of the pens are blue.
4 of the pens are red.

Terri takes at random a pen from the box and writes down it's colour. Terri puts the pen back in the box.
Then Terri takes at random a second pen from the box and writes down it's colour.

a) complete a probability tree diagram.

b) work out the probability that Terri takes exactly one pen of each colour from the box.

a) I have attached an image of a probability tree diagram.

b) 0.02332 (please round to where you need)

The probability that Terri chooses a blue pen is 2/7. The probability that Terri chooses a red pen is 4/7. The probability that Terri chooses neither a red nor blue pen is 1/7.

2/7 x 4/7 x 1/7 = 0.02332

Hope this helps! :)

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?