The number of marbles in the bag illustrates probability
The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble
<h3>The number of marbles in the bag?</h3>
The probabilities are given as:
P(Red) = 1
P(Green) = 1
For a distribution, the sum of all probabilities must equal to 1.
This means that:
P(Red) + P(Green) = 1
So, we have:
1 + 1 = 1
This gives
2 = 1
The above equation is false because 2 does not equal to 1.
So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag
Read more about probability at:
brainly.com/question/251701
Answer:

And we can find the individual probabilities using the probability mass function and we got:


And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want this probability:

And we can use the complement rule and we got:

And we can find the individual probabilities using the probability mass function and we got:


And replacing we got:

Answer:
The third one
Step-by-step explanation: