Alocal lottery is conducted weekly by choosing five chips atrandom and without replacement from a population of 40 chips, numbered 1 through 40; order does not matter. the winning numbersare announced on five successive commercials during the mondaynight broadcast of a televised movie. suppose the first threewinning numbers mathc three of yours. what are your chances at thatpoint of winning the lottery?

0.002

Step-by-step explanation:

The order of choosing the 5 chips without replacement from a population of 40 chips does not matter, so I decide to choose 3 chips first which match the winning numbers

Number of chips left = 40 - 3 = 37, number of chips left to be chosen = 5 - 3 = 2

The number of ways to choose the remaining 2 chips from the 37 chips left can be done by the combination method

Number of ways = n combination r = n!/(n - r)!r!

n = 37, r = 2

Number of ways = 37!/(37-2)!2! = 37!/35!2! = 37×36×35!/35!×2 = 37×36/2 = 37×18 = 666

My chances of winning = 1/666 = 0.002

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

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