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Sonja [21]
2 years ago
15

Suppose James randomly draws a card from a standard deck of 52 cards. He then places it back into the deck and draws a second ca

rd. A standard deck of cards contains four suits: clubs, diamonds, hearts, and spades. There are 13 cards in each suit, which includes three face cards: jack, queen, and king. What is the probability that James draws a queen card as the first card and a diamond card as the second card? Express your answer as a percentage precise to two decimal places.
Mathematics
1 answer:
qwelly [4]2 years ago
7 0

Answer:

1.92%

Step-by-step explanation:

The probability for first case, picking a queen out of deck, will be:

\frac{4}{52}

as there will be 4 queens in a deck, one of each suit.

For the second pick, the probability of picking a diamond card, will be:

\frac{13}{52}

here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).

Thus the net probability for both cases will be:

P = \frac{4}{52}  * \frac{13}{52}\\ P = \frac{1}{52}\\ P = 0.01923\\P = 1.923\%\\\\P = 1.92\%

Thus total probability for the combined two cases will be 1.92%

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3 0
3 years ago
Evaluate the expression. 5 x (-6 / -1 + -10)
kotykmax [81]

Answer:

-20

Step-by-step explanation:

5 * (-6 / -1+ -10)

According to PEMDAS, we need to do the math in the parentheses first.

-6 / -1 + -10

Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.

6 + -10

Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.

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Subtracting, we get 6 - 10 = -4 and we're left with:

5 * (-4)

Multiplying, <u>our final answer is -20.</u>

Hope this helps!

8 0
2 years ago
Help 10 POINTS MATH IS NOT MY STRONG SUIT
Masja [62]

Answer:

infinite number of solutions

Step-by-step explanation:

Work with the second equation.  Subtract 8x from both sides.

- 4y + 8x - 8x = -8x - 12                   Collect like terms.

-4y = - 8x - 12                                   Divide by - 4

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6 0
2 years ago
Which relation is a function?
zimovet [89]

Answer:

D

Step-by-step explanation:

A relation is a set of related points. A function is a set of related points where no inputs repeat.

A. {(1, 2), (2, 3), (3,  2), (2, 1)}

This repeats (2,3) and (2,1). Not a function.

​B. {(4, 2), (3, 3), (2,  4), (3, 2)}  

This repeats (3,3) and (3,2). Not a function.

C. {(1, −1), (−2, 2), (−1,  2), (1, −2)}

This repeats (1,-1) and (1,-2). Not a function.

D. {(1, 4), (2, 3), (3,  2), (4, 1)}

This doe NOT repeat. Function.

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2 years ago
Find the unknown side length. Simplify radical answers.​
AveGali [126]
The answer is 22 Bc it is
4 0
3 years ago
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