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# Standard level Mathematics internal Assessment- International Baccaleaureate

Thus, te number chosen from the red balls might be the same as the number chosen from the white balls. I addition, te players are allowed to select their own numbers or the numbers are selected from specific terminals referred to easy pick. I every drawing, te number that wins is selected using the two ball equipment; oe contains the red balls and the other the white balls. Tus, fr one to win, te 5 number of white balls are drawn from the equipment followed by the one the Powerball from the second machine.

Terefore, te games that match at least 3 white balls or the red balls win the game. Tus, Lttery game applies probability in determination of the winner. Fr example, i 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. I this game, were 5 characters are to be chosen from 40, fve numbers are picked from a draw that contains numbers within of 40.

I 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. I the above example, te first draw involves picking one number in a total of 40 differently numbered lottery balls, tus a probability of 1 in 40, te second ball is picked from 39 balls so there are chances of predicting the is 1 in 39. I each of the possible of choosing the first ball, tere are 39 different possible ways of picking the second ball from the bag.

O picking the third number, tere are 38 possible ways of predicting the number. Te 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. Tis trend is continuous, tus having the probability of picking the fourth number as 1 in 40 × 39 × 38 × pcking the ball as 1 in 40 × 39 × 38× 37× 36.

Te other significant aspect is the fact that the order in which the numbers appear does not matter. S, te five numbers can appear as 1, 2 3, 4 5 or 5, 4 3, 2 1. I general the numbers can be drawn in 5 × 4 × 3 × 2 × 1= 120 different ways. Tis is basically called combination function which involves the division written as 40! ×(40 - 5)! I is never case in lottery make assumptions that the ball will. ..

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