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You and your friend have a weekly chess match that you usually win 55% of the time. During a span of two months, however, your friend is able to win 5 consecutive matches. You create a model and run a simulation based on it, using (0 - 54) as the times you win. Based on your simulation, how many consecutive games should your friend likely win? A. 7 B. 6 C. 4 D. 5

User AlexBay
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5.8k points

2 Answers

6 votes

Answer:

C. 4

Step-by-step explanation:

yes.

User Kyle Paulsen
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5.9k points
4 votes

Answer:

The number of games his friend could win is:

4

Step-by-step explanation:

It is given that:

You and your friend have a weekly chess match that you usually win 55% of the time.

Now the simulation that is used is:

0-54.

This means that the simulation is based on the 54 matches.

So, the number of matches that the friend will win is:

(100-55)% of the 54 mathches.

= 45% of the 54 matches.

which is equal to:


=(45)/(100)* 54\\\\=24.30

Now it is given that the friend is able to win 5 consecutive matches.

This means that his friend could maximum win:

24.30/5=4.86

which in whole numbers is:

4.

Hence, the number of consecutive games that his friend could win is:

4

User Radoslav Hristov
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6.1k points