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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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