Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:

In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:



Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Total Marbles = 8 + 6 + 12 + 10 = 36
Probability the marble is blue = 8/36
Inverse this to get the probability of the marble not being blue
Probability of the marble not being blue = 28/36 = 7/9
Answer:
(A)
Step-by-step explanation:
To be honest, since all of them are different, as long as you get the first one right, you will get the others right. A is your answer, for the following reasons:
Reflexive Property: The Reflexive property states that the mirrored version of itself will always be congruent with itself. Generally, to make it easier, they will write it opposite (as they did in the given proof):
<em>line</em> AC ≅ <em>line</em> CA
~
Graph the line y=5x. Then graph the line y=x. Then look at them and describe in what ways they are the same or different.