Answer: 24
Step-by-step explanation:
The answer to this question would be
y
=
1
6
x
+
3
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
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:
- There are 9 rolls, hence .
- Of the six sides, 2 are 3 or 4, hence
The desired probability is:
In which:
Then
Then:
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
Answer: 40
Step-by-step explanation:
I can see the answer is 40, but let's try to figure out how to do it.
I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.
''x'' represents the number of passes in 15 games.
Solve for x;