The state runs a lottery once every week in which six numbers are randomly selected from 16 without replacement. A player chooses six numbers before the state’s sample is selected. The player wins if all 6 numbers match. If a player enters one lottery each week, what is the probability that he will win at least once in the next 200 weeks? Report answer to 3 decimal places.

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Asked Jul 3, 2019
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The state runs a lottery once every week in which six numbers are randomly selected from 16 without replacement. A player chooses six numbers before the state’s sample is selected. The player wins if all 6 numbers match. If a player enters one lottery each week, what is the probability that he will win at least once in the next 200 weeks? Report answer to 3 decimal places.

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Expert Answer

Step 1

In this question, there is a lottery in which a person needs to select the 6 numbers if those 6 numbers are in state’s sample then he/she win the lottery. We need to find the probability that he will win at least once in next 200 weeks.

Step 2

Let’s divide the numbers in two group,

Group 1, Those numbers which are in state’s sample

Group 2, Those numbers which are not in state’s sample

 

The player sele...

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10 °C, х "С, 16C 1Сь Probability of winning = 1 8008

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