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Juliette [100K]
3 years ago
8

There are 15 girls and 14 boys in an English class. The teacher is drawing names from a hat at random to set up teams of four st

udents. What is the probability of drawing a girl's name, then a boy's name, then a girl's name, then a boy's name.
Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Answer:

35/522 ≈ 0.067

Step-by-step explanation:

There are initially 29 names in the hat, 15 of which are girls' names.  So the probability is 15/29.

There are now 28 names in the hat, 14 of which are boys' names.  So the probability is 14/28.

There are now 27 names in the hat, and 14 girls' names.  So the probability is 14/27.

Finally, there are 26 names in the hat, and 13 boys' names.  So the probability is 13/26.

The total probability is:

P = (15/29) (14/28) (14/27) (13/26)

P = 35/522

P ≈ 0.067

masha68 [24]3 years ago
3 0

Answer:

Step-by-step explanation:

There are initially 29 names in the hat, 15 of which are girls' names.  So the probability is 15/29.

There are now 28 names in the hat, 14 of which are boys' names.  So the probability is 14/28.

There are now 27 names in the hat, and 14 girls' names.  So the probability is 14/27.

Finally, there are 26 names in the hat, and 13 boys' names.  So the probability is 13/26.

The total probability is:

P = (15/29) (14/28) (14/27) (13/26)

P = 35/522

P ≈ 0.067

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maks197457 [2]
Might have to experiment a bit to choose the right answer.

In A, the first term is 456 and the common difference is 10.  Each time we have a new term, the next one is the same except that 10 is added.

Suppose n were 1000.  Then we'd have 456 + (1000)(10) = 10456

In B, the first term is 5 and the common ratio is 3.  From 5 we get 15 by mult. 5 by 3.  Similarly, from 135 we get 405 by mult. 135 by 3.  This is a geom. series with first term 5 and common ratio 3.   a_n = a_0*(3)^(n-1).
So if n were to reach 1000, the 1000th term would be 5*3^999, which is a very large number, certainly more than the 10456 you'd reach in A, above.

Can you now examine C and D in the same manner, and then choose the greatest final value?  Safe to continue using n = 1000.





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3 years ago
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2 years ago
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Sindrei [870]

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Step-by-step explanation:

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Step-by-step explanation:

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