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alexandr402 [8]
2 years ago
10

Help please

Mathematics
1 answer:
mafiozo [28]2 years ago
4 0

Answer:

um 100%

Step-by-step explanation:

The volume is 2.8125 inches

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Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
3 years ago
There are 75 students enrolled in camp. The day before the camp begins, 8℅ of the students cancel. how many students actually at
Arisa [49]
69 kids still attend
4 0
3 years ago
A pitcher of water contains 1/4 of water. The water is poured equally into 5 glasses. How many liters of water are in each glass
IRINA_888 [86]
Hey there!

To solve this, divide the numbers 1/4 and 5 . . .

1/4 = 1/4

5 = 5/1

1 x 1 = 1

4 x 5 = 20

= 1/20

1/20 is already in it's simplest form, so it doesn't need to be simplified.

There are 1/20 liters of water in each glass.

Hope this helps you.
Have a great day!
7 0
3 years ago
Read 2 more answers
Josette found 16 coins in her purse. She had 2 more nickels than pennies and 7 fewer quarters than pennies. Josette modeled the
Yanka [14]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Prove that 3 power p + 1 - 3 power P upon 2 multiply 3 power p is equal to 1 ​
Anit [1.1K]

Answer:

see explanation

Step-by-step explanation:

note that 3^{p+1} = 3^{p} × 3 ( when multiplying exponents are added )

Given

\frac{3^{p+1}-3^{p}  }{2.3^{p} } ← factor out 3^{p} on numerator

= \frac{3^{p}(3-1) }{2.3^{p} }

= \frac{2.3^{p} }{2.3^{p} }

= 1

7 0
3 years ago
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