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ohaa [14]
3 years ago
5

Which system of linear inequalities is represented by

Mathematics
1 answer:
anastassius [24]3 years ago
4 0
I think the second one is correct
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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
Find the average of the following salaries:<br> $38,750.00, $42,500.00, $44,500.00
sertanlavr [38]
To find the average you add all three numbers together and then divide by three since you added three.
$38,750.00 + $42,500.00 + $42,500.00 = $123,750.00
$123,750.00 ÷ 3 = $41,250
So your answer is $41,250

4 0
3 years ago
Which of the following expanded forms represents the number words one thousand, six hundred eighty-nine?
Arisa [49]
The answer is 1000+600+80+9. please give brainliest
5 0
2 years ago
matthew scored a total of 168 points in basketball this season. He scored 147 of those points what perenct of his total points d
natka813 [3]
88% not sure but I think so if it’s not the answer I’m sorry.
7 0
3 years ago
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d
oksian1 [2.3K]

part a: $37.60

idk part b

4 0
3 years ago
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