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soldier1979 [14.2K]
3 years ago
15

The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that

Mathematics
1 answer:
Elodia [21]3 years ago
4 0

Answer:

The data we have is:

the probability that a civil servant own a car is 1/6

Two civil servants are selected at random.

a) The probability that each own a car.

Ok, here we have two events:

Person 1 haves a car.

Person 2 haves a car.

The probability of each of those events is the same, 1/6.

P1 = 1/6

P2 = 1/6

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.

P = P1*P2 = (1/6)*(1/6) = 1/36.

b) Only one has a car.

Suppose that Person 1 has the car and Person 2 has not a car.

The probability for person 1 is 1/6.

And for person 2, is the negation of having a car:

So if we have prob of having a car = 1/6

Then the probability of not having a car is = 1 - 1/6 = 5/6.

Then we have:

P1 = 1/6

P2 = 5/6.

The joint probability is:

P = P1*P2 = (1/6)*(5/6) = 5/36.

But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.

P = 2*(5/36) = 10/36

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Answer in fraction form:   -17/4 < x < 11/4

Answer in decimal form:   -4.25 < x < 2.75

=======================================================

Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

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-14 < 4x+3 <  14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

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-4.25 < x < 2.75

This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

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What is the measure of angle 6, if lines x and y are parallel, and angle 7 measures 121°? 121° 69° 59° 49°
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59°

Step-by-step explanation:

From the diagram, shown in the attachment line x and y are parallel lines.

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The two angles will add up to 180 degrees.

\angle 7+\angle 6=180

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This implies that:

121+\angle 6=180

Solve for angle 6 to get;

\angle 6=180-121\

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At an amusement park, 10 out of 25 tickets sold were discount tickets. What percentage of the tickets were discount ticket
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Answer:

<h2>40% of the tickets were discount ticket</h2>

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Solve the following system using substitution.
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Answer/Step-by-step explanation:

3. By substitution method, let's substitute \frac{2}{3}x- 4 for y in the first equation.

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\frac{x}{3} + \frac{4x}{3} - 4 + 4 = 1 + 4

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Multiply both sides by 3

\frac{5x}{3}*3 = 5*3

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Divide both sides by 5

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Now, substitute 3 for x in the equation.

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3x + 10 - 10 = 11 - 10

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The solution is x = \frac{1}{3}, y = -5

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