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Hi everyone! If you are confused with the question “ *Bag contains n marbles two of which are blue. Hayley plays game in which she randomly draws marbles out of the bag; one after another, without replacement.*….”this is also happening to you, don’t worry because the fastest answer and significant knowledge will be right in the information below. Continue reading!

## Question

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A bag contains *n *marbles, two of which are blue. Hayley plays game in which she randomly draws marbles out of the bag, one after another, without replacement. The game ends when Hayley draws a blue marble.

A. Find the probability, in terms of *n, *that the game will end on her

- first draw;
- second draw.

B. Let *n* = 5 . Find the probability that the game will end on her

- third draw;
- fourth draw.

Hayley plays the game when *n* =5_ She pays $20 to play and can earn money back depending on the number of draws it takes to obtain a blue marble. She earns no money back if she obtains blue marble on her first draw. Let *M* be the amount of money that she earns back playing the game. This information is shown in the following table.

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Number of draws | 1 | 2 | 3 | 4 |

Money earned back ($M) | 0 | 20 | 8k | 12k |

C. Find the value of *k* so that this is a fair game

## Answer

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## Relevant knowledge

Statistics refers to the analysis and interpretation of large quantities of numerical data. Statistics can include any measurement that can be made. Thus, This allows statistics to reveal a lot about the world and all that happens there. Statistics can be used to improve or make things more efficient. But, it is important to correctly interpret statistical data. Statistics can lose much of their value if it is not understood correctly. Worse, incorrect or flawed conclusions could be drawn. On the other hand, misleading Statistics refers to statistical methods that misrepresent numerical data, either intentionally or accidentally. So, the way data is collected, used, and displayed can all contribute to misleading statistics.

## Conclusion

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