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spayn [35]
3 years ago
9

In a state lottery game you select six numbers from 1 to 44. the state selects six numbers at random from 1 to 44 without replac

ement. you must match four out of the state's six to win third prize. the order of the numbers is irrelevant. find the probability of winning third prize.
Mathematics
1 answer:
LiRa [457]3 years ago
6 0
We need to correctly choose exactly 4 out of the 6 drawn numbers.

Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2 
B=number of undrawn numbers = 44-6 = 38

Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b)  [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494

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Pachacha [2.7K]

Answer:

The campsites can be chosen in 5,765,760 different ways.

Step-by-step explanation:

Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:

16 x 15 x 14 x 13 x 12 x 11 = X

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Therefore, the campsites can be chosen in 5,765,760 different ways.

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3 years ago
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Answer: $46.75

Step-by-step explanation:

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Total

15% of $55 =$8.25

$55.00 less $8.25

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4 years ago
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the secon
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Answer:

D. The ratio level of measurement is most appropriate because the data can be ordered, differences can be found and are meaningful, and there is a natural starting zero point

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