A school debate team has 4 girls and 6 boys. A total of 3 of the team members will be chosen to participate in the district debate. What is the probability that 1 girl and 2 boys will be selected?

Question

pooja195 · Answer

$\Huge\color{red}\ast$$\huge\color{blue}\ast$$\LARGE\color{green}\ast$$\Large\color{purple}\ast$$\large\color{turquoise}\ast$$\normalsize\color{orchid}\ast$$\small\color{limegreen}\ast$$\scriptsize\color{goldenrod}\ast$$\tiny\color{orange}\ast$$\scriptsize\color{goldenrod}\ast$$\small\color{limegreen}\ast$$\normalsize\color{orchid}\ast$$\large\color{turquoise}\ast$$\Large\color{purple}\ast$$\LARGE\color{green}\ast$$\huge\color{blue}\ast$$\Huge\color{red}\ast$$\huge\color{blue}\ast$$\LARGE\color{green}\ast$$\Large\color{purple}\ast$$\large\color{turquoise}\ast$$\normalsize\color{orchid}\ast$$\small\color{limegreen}\ast$$\scriptsize\color{goldenrod}\ast$$\tiny\color{orange}\ast$$\scriptsize\color{goldenrod}\ast$$\small\color{limegreen}\ast$$\normalsize\color{orchid}\ast$$\large\color{turquoise}\ast$$\Large\color{purple}\ast$$\LARGE\color{green}\ast$$\huge\color{blue}\ast$$\Huge\color{red}\ast$$\huge\color{blue}\ast$$\LARGE\color{green}\ast$$\Large\color{purple}\ast$$\large\color{turquoise}\ast$$\normalsize\color{orchid}\ast$$\small\color{limegreen}\ast$$\scriptsize\color{goldenrod}\ast$$\tiny\color{orange}\ast$$\scriptsize\color{goldenrod}\ast$$\small\color{limegreen}\ast$$\normalsize\color{orchid}\ast$$\large\color{turquoise}\ast$$\Large\color{purple}\ast$$\LARGE\color{green}\ast$$\huge\color{blue}\ast$
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directrix · Answer

C(4,1) is the number of ways to choose the 1 girl
C(6,2) is the number of ways to choose the 2 boys

C(10,3) is the number of ways to choose 3 students from a group of 10.

directrix · Answer

What is the probability that 1 girl and 2 boys will be selected?

[ C(4,1) * C(6,2) ] / C(10, 3)   =  ?

directrix · Answer

@dom2311