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# Standard level Mathematics internal Assessment- International Baccaleaureate Essay Example

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## Standard level Mathematics internal Assessment- International Baccaleaureate

Thus, the number chosen from the red balls might be the same as the number chosen from the white balls. In addition, the players are allowed to select their own numbers or the numbers are selected from specific terminals referred to easy pick. In every drawing, the number that wins is selected using the two ball equipment; one contains the red balls and the other the white balls. Thus, for one to win, the 5 number of white balls are drawn from the equipment followed by the one number of the Powerball from the second machine. Therefore, the games that match at least 3 white balls or the red balls win the game.Thus, Lottery game applies probability in determination of the winner. For example, in a game that involves careful selection of 5 numbers from 40 and winning is determined when the 5 numbers match the other 5 picked from the same pool of numbers. In this game, where 5 characters are to be chosen from 40, five numbers are picked from a draw that contains numbers within a range of 40. In situations where the numbers drawn are similar to the numbers on the ticket the bearer of the ticket emerges the winner and the order of appearance of the numbers on the ticket is not considered.In the above example, the first draw involves picking one number in a total of 40 differently numbered lottery balls, thus a probability of 1 in 40, the second ball is picked from 39 balls so there are chances of predicting the is 1 in 39. In each of the 40 possible ways of choosing the first ball, there are 39 different possible ways of picking the second ball from the bag. On picking the third number, there are 38 possible ways of predicting the number. The chances of picking the third number from 40 is 1 in 40 × 39 × 38 and the probability of picking the second from 49 is 1 in 40 × 439. This trend is continuous, thus having the probability of picking the fourth number as 1 in 40 × 39 × 38 × 37, picking the fifth ball as 1 in 40 × 39 × 38× 37× 36. The other significant aspect is the fact that the order in which the numbers appear does not matter. So, the five numbers can appear as 1, 2, 3, 4, 5 or 5, 4, 3, 2, 1. In general the numbers can be drawn in 5 × 4 × 3 × 2 × 1= 120 different ways. This is basically called combination function which involves the division written as 40! × (40 - 5)!It is never a case in lottery to make assumptions that the ball will

Work Cited

Barboianu, Catalin. The Mathematics of Lottery: Odds, Combinations, Systems. INFAROM

Publishing. 2009. Print

Catlin, Don. The Lottery Book: The Truth Behind the Numbers. Bonus Books. 2003. Print

Haigh, John. Taking Chances. Winning with Probability. Oxford University Press. 2003. Print

Nurmela, Kari J. & Ostergard, Patric R. J. Constructing Covering designs by Simulated Annealing. Helsinki University, Digital Systems Laboratory. 1993. Print

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