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AveGali [126]
3 years ago
9

What is the probability of drawing the compliment of a king or a

Mathematics
1 answer:
inna [77]3 years ago
5 0

Answer:

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

n( E_{1} ) = 4 _{C_{1} }  = 4

Let E₂ be the event of the card drawn being a queen

n( E_{2} ) = 4 _{C_{1} }  = 4

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

                 = \frac{4}{52} + \frac{4}{52}

P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

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Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The question is:

What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.
  • The next term in the sequence is represented by point (4, 3).
  • f(x) = –4x + 19 represents the sequence.
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The graph is attached to the picture please refer to the graph.

We have an arithmetic sequence:

19, 15, 11, 7,...

The first term is:

a = 19

Common difference d = 15-19 = -4

The nth term:

a(n) = 19 + (n-1)(-4)

a(n) = 19 -4n + 4

a(n) = -4n + 23

We can write above expression as:

f(x) = -4x + 23

Slope of the equation = -4

The correct options are:

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.

Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

Learn more about the sequence here:

brainly.com/question/21961097

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