a Box contains 3 yellow, 2 blue, and 4 red pencils. supposeyou choose a pencil, replace than choose another. F

Question

refer to question above. Find the probabilty of choosing blue then yellow.

Answer 1

In this problem, replacing actually makes the problem less complex. With the additional element of replacement, you keep the proportions of the colors of pencils constant, and the system never changes.

The probability of choosing a blue pencil is 2/(2+4+3)=2/9.
Assuming you replace the blue pencil you have chosen, you now still have 9 pencils in the bag with the same ratios. So, its like you just started to pick from the bag. Choosing a yellow pencil has the probability of 4/9, since there are 4 yellow pencils and 9 total pencils. To find the probability of both events occurring, we multiply the individual properties:

2/9*4/9=8/81. The probability of choosing a blue pencil, then yellow pencil, assuming replacement, is 8/81 or 9.88% likely.

Answer 2

The probability of finding blue is 22 2/9% or in terms of ratio is 2:7. The probability of finding yellow is 33 1/3% or in terms of ratio is 1:2.

I hope this helps.

Answer 3

There are:
3y + 2b + 4r = 9 Pencils.

P(blue) = 2/9
P(yellow) = 3/9 = 1/3

Answer 4

(2/9)(3/9) = 5/81

Answer 5

huh