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Pie
3 years ago
11

Katie is playing a game using a 26-card deck that contains the black suits of the cards, which are 13 clubs and 13 spades. She c

an score bonus points if she draws a face card on her next turn. What is the probability that Katie will draw a king, queen, or jack on her next turn?
Mathematics
2 answers:
scoray [572]3 years ago
6 0

Answer: A). 3/13

Step-by-step explanation:plato only

Vladimir [108]3 years ago
4 0

Answer:

The probability that Katie will draw a face card on her next turn is 3/13, or approximately 23%.

Step-by-step explanation:

In a regular deck, there are four suits (clubs, spades, hearts and diamonds).  Each suit has 13 cards that go from 2 - 10 plus the Ace, King, Queen and Jack.  Since Katie is playing using a 26-card deck of only two suits, then there are only two kings, two queens and two jacks in the entire deck.  In order to find probability, we form a fraction where the denominator is the total number of outcomes, in this case 26, and the numerator is the number of desired outcomes, in this case the total number of face cards in the deck - 6.  So, the probability that Katie will choose a face card on the next turn is 6/26, which simplifies to 3/13 in lowest terms.  

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How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10
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Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

y=\frac{2}{3}x+2 ----> equation A

6x-4y=-10 ----> equation B

Solve the system by substitution

substitute equation A in equation B

6x-4(\frac{2}{3}x+2)=-10

6x-\frac{8}{3}x-8=-10

Solve for x

Multiply by 3 both sides to remove the fraction

18x-8x-24=-30

Combine like terms

10x=-30+24

10x=-6

x=-\frac{6}{10}

Simplify

x=-\frac{3}{5}

<em>Find the value of y</em>

y=\frac{2}{3}(-\frac{3}{5})+2

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Simplify

y=\frac{8}{5}

The solution of the system is the point (-\frac{3}{5},\frac{8}{5})

therefore

The system has one solution

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3 years ago
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