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.
First, you have the probability of choosing a green ball which is 4/9. Then the probability of flipping heads is 1/2. So 4/9*1/2=4/18=2/9. These two probabilities get multiplied because it's a combined probability.
Thank you for the help A J L. I needed this answer for a project. Thank you ever so much
Thanks this helped :)
A. To find the probability of the student selecting a green marble and then tossing a heads, we need to calculate the product of two probabilities: the probability of selecting a green marble and the probability of tossing a heads.
1. Probability of selecting a green marble:
There are a total of 9 marbles (3 red + 4 green + 2 blue) in the group. Since the student randomly selects one marble, the probability of selecting a green marble can be calculated by dividing the number of green marbles by the total number of marbles:
Probability of selecting a green marble = Number of green marbles / Total number of marbles = 4 / 9
2. Probability of tossing a heads:
A balanced coin has two equally likely outcomes, heads and tails. Therefore, the probability of tossing a heads is 1/2.
To find the probability of both events occurring, we multiply the probabilities together:
Probability of selecting a green marble and then tossing a heads = (4/9) * (1/2)
B. To determine the likelihood of the student selecting a green marble and then tossing a heads, we can use the answer from A, which is the probability of both events occurring.
The probability calculated in part A is a number between 0 and 1 that represents the likelihood of an event happening. In this case, the probability is the chance that the student selects a green marble and then tosses a heads.
The probability can be interpreted as the fraction of favorable outcomes (selecting a green marble and tossing a heads) out of all possible outcomes. In this particular scenario, when given a group of 9 marbles, the likelihood of the student selecting a green marble and then tossing a heads is (4/9) * (1/2), as calculated in part A.