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.

Question

Mathematics

Shirley Rivers

1 March, 18:26

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.

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Answers (1)

Know the Answer?

Bryson Chapman · Answer 1

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.

Answer:

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.