there are 10 girls and 16 boys in a class. the teacher has sticks with each students name on them in a bag. what is the probability if selecting sticks with a bows name and then a girls name if the first stick is not replaced?

The probability of selecting sticks with a boy's name is 8/13 and the probability of selecting sticks with a girl's name is 2/5.

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

Total number of students are,

n(S) = 10 + 16

n(S) = 26

Let event A: selecting first stick with a boy name

n(A) = 16

So, the probability of a boy is,

P(A) = n(A)/n(S)

P(A) = 16/26

P(A) = 8/13

if the first stick is not replaced, then n(S) would be,

26 - 1 = 25

Let event A: selecting first stick with a boy name

n(B) = 10

So, the probability of a boy is,

P(B) = n(B)/n(S)

P(B) = 10/25

P(B) = 2/5

Therefore, the probability of selecting sticks with a boy's name is 8/13 and the probability of selecting sticks with a girl's name is 2/5.

Learn more about the probability here:

brainly.com/question/11234923

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