Question

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 students. 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.

Answer 1

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

Answer 2

35/522 ≈ 0.067

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