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dem82 [27]
3 years ago
10

How to find the equalivent fraction of mixed number

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
Multiply the numerator and denominator by the whole number. you'll most likely get an improper fraction though. 

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Two students are reading a novel. Ashley reads 10 pages per day. Carly reads 8 pages per day, but she starts early and is alread
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3 years ago
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
16% of what equals 44?
Tatiana [17]
44 is 16% of 275. 275 times 0.16 is 44
3 0
2 years ago
How is it false, please explain
Vadim26 [7]
You did not put a picture or a question
3 0
2 years ago
Help me do this please
Leona [35]

Answer:

145

Step-by-step explanation:

85+60

6 0
2 years ago
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