Question

Please Help Me With This...I will medal

PicnicTech markets 3 versions of its Picnic Egg Boxes: the Golden Deluxe, containing 3 gold eggs and 1 plain egg; the Regular, containing 2 gold and 2 plain; and the EconoLunch, containing just 1 gold egg and 3 plain ones. The corner store has 3 Golden Deluxes on sale, 2 Regulars, and 5 EconoLunches. This is all shown in the tree diagram below.You buy a Picnic Egg Box at random and select an egg from it at random. The egg is gold! Use a probability tree diagram to calculate the probability that the box you bought was a Regular.

Answer 1

OK, first step is you want to draw lines to represent the first set of options
Second step: Convert the percentages to decimals and put those on the appropriate branch in the tree
Third step: Draw the next set of branches
Fourth step: Draw any other branches that you are given from the question

Answer 2

This helps me none.

Answer 3

In what follows, "g" stands for "gold", and "p" for plain.

Your experiment has a total of 3 + 2 + 5 = 10 outcomes. An outcome yields one of the following egg scenarios:

gggp with probability 3/10
ggpp with probability 2/10
gppp with probability 5/10

For each scenario we now consider the experiment of drawing an egg at random. The respective probabilities of drawing a plain one are 1/4 (for gggp), 2/4 (for ggpp), and 3/4 (for gppp). Thus, the probability of drawing a plain egg in the entire experiment is:

(3/10)*(1/4) + (2/10)*(2/4) + (5/10)*(3/4)

Answer 4

Maybe that will help with the understanding...

Answer 5

Okay....you are the second person who has like gone on Yahoo and copied and pasted.

Answer 6

It's wrong. Thanks a lot.

Answer 7

P(gold box and gold egg) = 3/4 * 1/2

P(econolunch and gold egg) = 3/10 * 1/4

P(regular box and gold egg) = 2/10 * 2/4

Easier way:
Count all the eggs, there is 40 in total in 10 boxes. Then count how many of them are golden. There is 15 golden eggs in 5 gold boxes, 3 golden eggs in 3 econolunches, and 4 golden eggs in 2 regular lunches so that's a total of 22 golden eggs out of a total of 40. Then the probability is:
P(Choosing a Gold egg)=n(A)n(S)=2240=1120=55%

Answer 8

That should be the correct answer @moemand

Answer 9

You're kidding right? .55....55% Same thing as 11/20. =WRONG.

Answer 10

It should be... 55%

Answer 11

It is Regular*** Not golden. Look at the question. 55% is not even an answer choice

Answer 12

What are your choices?

Answer 13

How about 1/2?

Answer 14

I will explain if that is correct.

Answer 15

Well I won't be able to tell until the end.

Answer 16

No you were still wrong.

Answer 17

Guessing games isn't helping at all. If you don't know don't answer.

Answer 18

I am going to step out on this one

Answer 19

P(gold) = (0.3 * 0.75) + (0.2 * 0.5) + (0.5 * 0.25) = 0.45
Given that the egg is gold, the probability that it came from a regular box is
\[\frac{0.1}{0.45}=0.222\]