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.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

addition

step-by-step explanation: