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ioda
1 year ago
6

5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability

that a king will be drawn on the second selection? b. if the king is not replaced, what is the probability that a king will be drawn on the second selection? c. in part (b), are we assuming the card selections are independent? justify your answer.
Mathematics
1 answer:
Ksivusya [100]1 year ago
5 0

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

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In the inequality 6a+4b&gt;10, what could be the possible value of a if b=2?
Arlecino [84]

We are given the following inequality:

6a+4b>10

If we replace b = 2, we get:

\begin{gathered} 6a+4(2)>10 \\ 6a+8>10 \end{gathered}

Now we solve for "a" first by subtracting 8 on both sides:

\begin{gathered} 6a+8-8>10-8 \\ 6a>2 \end{gathered}

Now we divide both sides by 6

\frac{6a}{6}>\frac{2}{6}

Simplifying:

a>\frac{1}{3}

Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3

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1 year ago
The graph below shows the speed of a car that is driven through a town and then on a major highway. During which of the followin
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Considering the graph of the velocity of the car, it is found that the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

<h3>When is a car stopped at a traffic light?</h3>

When a car is stopped at a traffic light, the car is not moving, that is, it's velocity is of zero.

In this problem, the graph gives the <u>velocity as a function of time</u>, and it is at zero between 3 and 4 minutes, hence the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

More can be learned about the interpretation of the graph of a function at brainly.com/question/3939432

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2 years ago
an object is 279.4 centimeters wide. if you divide the object into 10 equal parts, how wide will each part be?
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Read 2 more answers
Multiply: (3√6 - √2)(4√2 - √6)​
mixer [17]

Given multiplication:

(3√6 - √2)(4√2 - √6)

= 3√6(4√2-√6)-√2(4√2-√6)

= 3√6*4√2 - 3√6*√6 - √2*4√2 + √2*√6

= 12√12 -3√(6*6) -4√(2*2) + √(2*6)

= 12√(4*3) - 3√(36) - 4√(4) + √(12)

= 12*2√3 - 3*6 - 4*2 + 2√3

= 24√3 - 18-8 +2√3

= 24√3 + 2√3 - 18-8

= 26√3 - 18-8

= 26√3 - 26

= 26(√3-1).

<u>Answer</u><u>:</u><u>-</u> (3√6 - √2)(4√2 - √6) = 26(√3-1)

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3 0
3 years ago
GRAVITY The height above the ground of a ball thrown up with a velocity of 96 feet per second from a height of 6 feet is 6+96t-1
Nata [24]
Here the time function is h(t) = [6 + 96t - 16t^2] feet.

The initial height of the ball is 6 feet.  That's when t=0.  h(0)=[6+0-0] ft = 6 ft.

At t=7 sec, h(t) = [6 + 96t - 16t^2] feet becomes
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Instead, let t=1 sec.    Then h(1 sec) = h(t) = [6 + 96(1) - 16(1)^2] feet
                                                                     =[6 + 96 -16] ft, or 86 ft.

One sec after the ball is thrown upward, it reaches a height of 86 feet.  It continues to rise, slowing down, until it finally stops for an instant and then begins to fall towards earth.

6 0
3 years ago
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