There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The fi

Question

3 years ago

6

There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The fi

rst student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.

Mathematics

1 answer:

Damm [24] · Answer 1 · 2022-05-11T23:50:53+03:00

The probability that the first student is a girl is 5/10.

The probability of the second selection being a boy is 5/9.

(since the first selection was a girl, there are 9 students left)

The probability that the third student is a girl is 4/8

(there are 4 girls left after one was selected, and 8 students left in total, after the second selection.

The probability is (5/10)(5/9)(4/8)=0.139

Answer: 0.139