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nadezda [96]
3 years ago
7

seven people are seated in a row. They all got up and sit down again in random order. What is the probability that the two origi

nally seated at the two end are no longer at the ends
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

P(A&B) = 0.4

Explanation:

Because it is a random process and there are no special constraints the probability for everybody is the same, the probability of choosing a particular site is 1/7, the person originally seated in chair number seven has 5/7 chance of not seating in chair number six and seven, the same goes for the person originally seated in chair number six; Because we want the probability of the two events happening, we want the probability of the intersection of the two events, and because the selection of a chair change the probability for the others (Dependents events) the probability P(A&B) = P(A) * P(B/A) where P(A) is 5/7 and the probability of choosing the right chair after the event A is 4/7, therefore, P(A&B) = 4/7*5/7 = 0.4.

If the events were independent the probability would be 0.51.

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Answer:

120poles

Step-by-step explanation:

Given

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Since a square has 4 sides, the perimeter of the square shaped paddock is what we are to look for.

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Perimeter = 4(30)

Perimeter of the square = 120

Hence he used 120poles for the paddock

8 0
3 years ago
Carol has only 20p and 10p coins in her purse she has three times as many 20p coins and 10p coins if Carol has ?4.20 altogether,
irinina [24]

Suppose that Carol has x 10p coins in her purse. Since she has three times as many 20p coins as 10p coins, then she has 3x 20p coins in her purse.

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In total this amount of money is $(0.10x+0.60x)=$0.70x that is exactly $4.20. Thus, you get the equation

0.70x=4.20.

Solve it:

x=\dfrac{4.20}{0.70}=6.

Carol has 6 coins of 10p and 3·6=18 coins of 20p.


7 0
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