Hillgrove High School plays 3 soccer games. The team loses 2 of those games. According to the tree diagram, how many ways could
this happen?
2 answers:
Answer:
Number of ways: 3
Step-by-step explanation:
Hill grove High School plays 3 soccer games.
The team loses 2 of those games.
Total number of games played = 3
Number of games loose, L = 2
Number of game won, W = 1
<u>Possibilities:-</u>
- First game won and last two loose, WLL
- Second game won and first and last loose, LWL
- last game won and first two loose, LLW
Please find attachment for tree diagram.
Hence, Total 3 ways this would happen.
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Answer:
1.15%
Step-by-step explanation:
To get the probability of m independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:
This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:
n is the number of events
k is the number of success
p is the probability of each individual event
is the binomial coefficient
the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).
therefore, for this questions we have: