A student randomly selects one marble from the group of marbles shown below and then tosses a balanced coin.

A. What is the probability that the student will select a green marble and then toss a heads? Show all your work.

B. Use your answer in A to determine the likelihood that the student will select a green marble and then toss a heads. Explain your reasoning in complete sentences.

The question is incomplete! Complete question along with answers and explanation is provided below.

Question:

A student randomly selects one marble from the group of marbles shown below and then tosses a balanced coin.

3 red marbles

4 green marbles

2 blue marbles

A. What is the probability that the student will select a green marble and then toss a heads? Show all your work.

B. Use your answer in A to determine the likelihood that the student will select a green marble and then toss a heads. Explain your reasoning in complete sentences.

P(green and heads) = 2/9 = 0.22

Step-by-step explanation:

A.) What is the probability that the student will select a green marble and then toss a heads? Show all your work.

Probability of selecting a green marble = no. of green marbles/total no. of marbles

no. of green marbles = 4

total no. of marbles = 3 + 4 +2 = 9

P(green) = 4/9

Probability of tossing heads = no. of interest outcomes/total no. of outcomes

no. of interest outcomes = 1 (heads)

total no. of outcomes = 2 (heads, tails)

P(heads) = 1/2

P(green and heads) = P(green)*P(heads)

P(green and heads) = 4/9*1/2

P(green and heads) = 2/9 = 0.22

B. Use your answer in A to determine the likelihood that the student will select a green marble and then toss a heads. Explain your reasoning in complete sentences.

In this problem we want to know the probability of 2 different events happening at the same time or one after another which are not depended on each other.  

Whether you are selecting a green marble or a red one this will not going to effect the probability of getting a head or tail. In such a case, we multiply the probabilities of these 2 events to get the combined probability.

answer: 59

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584