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4 years ago

A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly

chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.

Mathematics

1 answer:

Serggg [28]4 years ago

4 0

$|\Omega|=8\cdot10=80\\ |A|=1\\\\ P(A)=\dfrac{1}{80}$

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Answer: There are 20 students and 4 students are not here today.

Step-by-step explanation:

If the number of students = 4

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If the number of students = 5

Fraction of students absent = $\dfrac{x}{5}$

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So, the fraction of student absent is also written as

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According to question, it becomes,

$\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20$

Hence, there are 20 students in our school.

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