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jenyasd209 [6]
2 years ago
15

A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, we stop. If no

t, we replace the marbles in the jar and again randomly select 4 marbles. This continues until exactly 2 of the 4 chosen are white. What is the probability that we shall make exactly n selections?
Mathematics
1 answer:
Airida [17]2 years ago
3 0

Answer:

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

Step-by-step explanation:

Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply  

p=(4 2)*(4 2)/(8 4)

This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence  

P(X = n) = (1— p)^n-1 *( p )

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

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What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns
Dmitrij [34]

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

Determine the area of triangle

A=\frac{1}{2}(9)(6)=27\ in^2

step 2

Determine the area of the square

A=(3^2)=9\ in^2

step 3

Determine the probability

P=\frac{9}{27}

simplify

P=\frac{1}{3}

therefore

One-third

5 0
2 years ago
Which lines are parallel if M^4 +M^5? Justify your answer.
Igoryamba
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well. 

<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
4 0
2 years ago
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0
2 years ago
One end of a 4ft iron rod is attached to the center of a pulley with radius of 0.5 ft. The other end is attached at a 40 degree
mr_godi [17]
We use the formula
L = rθ
where s is the arc length or the length of the wire
r is the distance from the center to the end of the rod
θ is the angle made by the rod with the wall

Substituting the values and converting the angle to radian measure
L = 4 (40°) (π/180°)
L = 2.79 feet<span />
3 0
2 years ago
Why might the triangulation method not always produce an exact point (other than any measurement errors)
Rufina [12.5K]

Answer:

The triangulation method might not always produce an exact point (other than any measurement errors) because:

The method uses different data sources, researchers, and theories or perspectives.

Step-by-step explanation:

Research Triangulation uses multiple methods, data sources, different investigators, and varied theories for the purpose of developing a more comprehensive understanding of the underlying situations.  Triangulation validates the qualitative research by obtaining information from different sources, investigators, viewpoints, or methods.

3 0
2 years ago
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