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WARRIOR [948]
2 years ago
15

A total of 3 cards are chosen at random, without replacing them, from a standard deck of 52 playing cards. What is the probabili

ty of choosing 3 king cards?
Mathematics
1 answer:
svetoff [14.1K]2 years ago
7 0

Answer:

1/5525 ≈ 0.018%

Step-by-step explanation:

There are 4 kings in a standard deck of 52 cards.

The probability that the first card is a king is 4/52.

The probability that the second card is also a king is 3/51 (the first king isn't replaced, so there's one less king and one less card in the deck).

The probability that the third card is a king is 2/50.

The probability of choosing 3 king cards is therefore:

P = (4/52) (3/51) (2/50)

P = (1/13) (1/17) (1/25)

P = 1/5525

P ≈ 0.018%

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Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian
Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Step-by-step explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

\frac{3}{4}=0.75

So,

0

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

6 0
3 years ago
Help ASAP plz (get brainliest)
Vikki [24]

Answer:

B.

Step-by-step explanation:

7 0
3 years ago
Which expression is the best estimate of the product of 7/8 and 8 1/10
gtnhenbr [62]

Answer:

8

Step-by-step explanation:

i don't see options to select from but my guess would be 8 because 7/8 is very close to being one and 8 1/10 is close to 8;  8 x 1 = 8

4 0
3 years ago
Tim wants to determine the height, x, of a nearby tree. He stands 35 feet
kodGreya [7K]

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = \frac{opposite}{adjacent} = \frac{x}{35} ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

6 0
2 years ago
Please hurry. Have to submit this soon.
AlekseyPX
In 1 hour, Antoine travels 1.75 mi by dividing 5.25 by 3. So, after lunch, he hiked 4 hours. 1.75 times 2 is 3.5 mi every hour after lunch. So, 3.5 times 4 is 14 mi. + 5.25 is 19.25 mi., or 19 1/4 miles.
8 0
3 years ago
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