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jolli1 [7]
3 years ago
11

To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying a $1 for each five-number s

election. What is the probability that a person with one combination of the five numbers will win?
What is the probability of winning if 100 different lottery tickets are purchased?
Mathematics
1 answer:
defon3 years ago
4 0

There are 45 numbers out of which 5 numbers are required to win an enormous sum of money

No of ways  in which 5 numbers can be selected out of 45 numbers.

C_{45}^5=\frac{45!}{40!5!} =1221759

out of which there is only combination foe contest winning

P=\frac{1}{1221759}

When 100 different tickets are bought then

Probability of winning: \frac{100}{1221759}

Probably of winning≈0,000082

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia :^)

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3 years ago
In order to determine the effectiveness of a new measles antibody test, it is administered to 500 people chosen at random. The n
myrzilka [38]

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The probability that a randomly chosen person has measles antibodies in his/her blood if the new test is positive = 0.9796

Step-by-step explanation:

The event that someone tests positive = P(T)

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The event that someone does not have antibodies = P(A')

The new test was positive when administered to 96% of those who have the antibodies.

This probability = P(T n A) = 0.96

The new test gave positive results in 2% of those who do not have them.

This probability = P(T n A') = 0.02

The probability that a randomly chosen person has measles antibodies in his/her blood if the new test is positive = P(A|T)

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Hope this Helps!!!

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3 years ago
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