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jarptica [38.1K]
3 years ago
8

A standard deck of cards has 52 cards, 4 of each type (Ace, King, Queen, Jack, 10,...,2). From a well-shuffled deck, you are dea

lt a hand of 5 cards (without replacement).
(a) What is the probability that you are dealt at least one face card (that is a king, queen or jack)?
(b) What is the probability that you are dealt with both; at least one ace and at least one face card?
Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

a)%85,5

b)%92,2

Step-by-step explanation:

a) To determine the probability of getting a hand with at least one face, we need to calculate the probability of the hand without any face firstly.

(36/52)*(35/51)*(34/50)*(33/49)*(32/48)=0,145

Then, we need to deduct this value from the probability 1

1-0,145=0,855

The probability of the hand with at least one face is %85,5.

b)To determine the probability of a hand with at least one ace and face we will track the same road again.

(32/52)*(31/51)*(30/50)*(29/49)*(28/48)=0,0775

Then, we need to deduct this value from the probability 1

1-0,0775=0,922

The probability of the hand with at least one ace and one face is %92,2.

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If A ABC and AABD are equilateral, which line segment is a 60° clockwise rotation of AB about the
Svet_ta [14]

Answer:

I think it is AC

Step-by-step explanation:

5 0
2 years ago
I need help with these 2 <br> i need to get a answer and i have to explain pls help! :(
OLga [1]

Answer:

12. C. 40 more students chose baseball than basketball

20. 500 total flowers

Step-by-step explanation:

12. To find the number of students that chose baseball, we multiply 25% by 800 students surveyed. First we have to convert 25% to a decimal = 0.25

800 x 0.25 = 200 students chose baseball.

Then, for basketball, 20% of students chose that, so 20% = 0.20

800 x 0.2 = 160 students chose basketball

200-160 = 40 more students chose baseball than basketball

----------------------------

20. I don't know what your "magic sentence" looks like. You can set this up as a ratio, where x is the total number of flowers, and the 56% is a fraction of 56/100

280/x = 56/100

then cross multiply

28,000 = 56x

divide by 56

x = 500

Check the math: 500 x 0.56 = 280

If you want to tell me what your teacher's "magic sentence" looks like in the comments, I can try to fill it in with/for you.

6 0
2 years ago
Expressions Task Card # 3
Mama L [17]
Total $ = 2.50x+6
First multiply x by 2.50
Then add 6 to get the total amount spent.
6 0
3 years ago
Simplify. Show your work. 13 +- 3918
LenKa [72]

Answer:

I Got -3905

Step-by-step explanation:


6 0
3 years ago
Please help me with this question
Olegator [25]

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

5 0
3 years ago
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