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Free_Kalibri [48]
2 years ago
12

two cards are drawn from a standard 52-card playing deck. What is the probability that the draw will yield an ace and a face car

d?
Mathematics
1 answer:
Zigmanuir [339]2 years ago
6 0

Answer:

Please read the answer below.

Step-by-step explanation:

Let's recall the formula of the probability:

P = Number of favorable outcomes/Total number of possible outcomes

What is the probability that the draw will yield an ace and a face card?

Let's calculate the probability with reposition and without reposition:

With reposition (placing the card back in the deck):

Probability of drawing an ace:

P = 4/52 = 1/13 = 0.077 = 7.7%

Probability of drawing a face card:

P = 4/52 = 1/13 = 0.077 = 7.7%

Without reposition (not placing the card back in the deck):

Probability of drawing an ace:

P = 4/52 = 1/13 = 0.077 = 7.7%

Probability of drawing a face card:

P = 4/51 = 0.078 = 7.8%

Probability of the two events:

1/13 * 4/51 = 4/663 = 0.006 = 0.6%

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There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m
Novosadov [1.4K]

Answer:

Carry

Step-by-step explanation:

Here let’s take any arbitrary value for the number of properties sold by Ellen.

Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties

Bob sold 3 more than Ellen, meaning he sold 13.

Carry sold twice of Bob meaning he sold 26

Dora sold the addition of Bob and Ellen = 13 + 10 = 23

Carry sold 26 and this makes him the highest seller.

7 0
2 years ago
In the diagram, AB←→ || CD←→. Which pair of angles can be proven congruent?
slega [8]
For the answer to the question above, the opposite angles at the intersection of two straight lines as shown in the graph are congruent. 
So the answer is simply∡ EIA  and ∡ KIJ are congruent.

I hope my answer helped you. Have a nice day!
7 0
2 years ago
Read 2 more answers
Ari mixed 2 1/4 cups of red grapes with 1/2 cups of green grapes. He then divided the grapes into bags with 3/4 cup of mixed gra
Oxana [17]

To start, our equation will look like this:

(2 1/4 + 1/2)/ 3/4 = b

To make it easier convert the 2 numbers inside the parentheses into improper fractions, and then multiply them by their least common denominator to add.

(9/4 + 1/2)

(18/8 + 4/8)

(22/8)/ 3/4 = b

Now, to divide 22/8 cups of grapes into bags with 3/4 cup of grapes, multiply 22/8 by 4/3.

(22/8)(4/3)=b

3 2/3 = b

So, if Ari has a bag with 2 1/4 cups of red grapes and 1/2 cup of green grapes, and he divides it into bags with 3/4 cup each, he will have about 3 full bags.

6 0
2 years ago
Read 2 more answers
Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
Alex787 [66]

Answer:

Correct option: third one ->  11.5 m3

Step-by-step explanation:

To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:

V_rectangular = 4m * 2m * 1m = 8 m3

V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3

Now, to find the volume of the ramp, we just need to sum both volumes:

V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3

Correct option: third one.

6 0
2 years ago
Read 2 more answers
1, 32, 243, 1,024, 3,125____ what is the next number in the pattern
rosijanka [135]
Heyya

I think the pattern is (n+1)^5

1=1^5
32 = 2^5
243 = 3^5
1024 = 4^5
3125 =5^5

Then the next number should be 6^5 = 7776
Hope you get it
8 0
2 years ago
Read 2 more answers
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