In probability and statistics, there is an equation used for repeated trials. In this equation, you find the probability of getting 'r' successful events out of 'n' trials. Moreover, you should incorporate the probability of the success per trial. For a 6-sided face, each side has a probability of success of 1/6. On the other hand, the probability of each side not appearing is 5/6, because when you add these two, it would sum up to 1 as always.
Now, the equation for repeated trials is:
Total Probability = n!/r!(n-r)! * p^(n-r) * q^r
where
n = 5 tosses
r = 1 and 2 (since you want to see the probability of a side less than 3)
p = 1/6
q = 5/6
So, you add the individual probability when r=1, and when r=2.
Total Probability = 5!/1!(5-1)! * (1/6)^(5-1) * (5/6)^1 + 5!/2!(5-2)! * (1/6)^(5-2) * (5/6)^2
Total Probability = 50/243 or 20.58%
Answer:
A. The number of students that the club needs is at least (18).
Step-by-step explanation:
27 is the minimum requirement, so they need at <em>least</em><em> </em>18 people to meet said requirement. They can go over the limit.
The other answer comes into play if 27 was the <em>maximum</em><em> </em>that was allowed. Then they would need at most 18, because they can't admit any more people. They can't go over the limit.
In order for S(t) to equal to 0, it would take 9 years. If you multiply 9 times the -120, you will get -1080, then you add that to the +1,080 and the answer is 0.
The answer to that is: -12f+6g
Hope this helps ;-)
