Question

There are 13 girls and 17 boys in a Grade 6 class. The teacher puts each student’s name into a hat, then draws one name. The student whose name is drawn will be the first to present her or his speech. What is the theoretical probability that a girl will present first? (Represent your answer as a fraction).

Answer 1

Given

$\bold{Total \ number \ of \ girls} = 13 \\\bold{Total \ number \ of \ boys} = 17\\\implies \bold{Total \ number \ of \ students} = 13 + 17 = 30$

a) P(A boy would present his speech first)

$= \dfrac{\bold{Total \ number \ of \ boys}}{\bold{Total \ number \ of \ students}}$

$=\boxed{\boxed{\bold{ \frac{17}{30} }}}}}$

b) P(A girl would present his speech first)

$= \dfrac{\bold{Total \ number \ of \ girls}}{\bold{Total \ number \ of \ students}}$

$=\boxed{\boxed{\bold{ \frac{13}{30} }}}}}$

                                                 

Answer 2

There are total 13 girls and 17 boys in a Grade 6th .

13 + 17 = 30

Boy and girl present in her 1st speech :

Total number of boys/girls

Total number of students

Girls = 13

30

Boys = 17

30