mrs. reiter has 30 popsicle sticks with the name of each student in her class written on them. she randomly…

mrs. reiter has 30 popsicle sticks with the name of each student in her class written on them. she randomly picks a popsicle stick from the can and calls on that student to answer a question. mrs. reiter has 12 boys in her class and the rest are girls. what is the probability of mrs. reiter not picking a boy? a $\frac{2}{5}$ b $\frac{3}{5}$ c $\frac{2}{3}$ d $\frac{1}{2}$

mrs. reiter has 30 popsicle sticks with the name of each student in her class written on them. she randomly picks a popsicle stick from the can and calls on that student to answer a question. mrs. reiter has 12 boys in her class and the rest are girls. what is the probability of mrs. reiter not picking a boy? a $\frac{2}{5}$ b $\frac{3}{5}$ c $\frac{2}{3}$ d $\frac{1}{2}$

Answer

Explanation:

Step1: Calculate the number of girls

The total number of students is (30), and the number of boys is (12). So the number of girls is (30 - 12=18).

Step2: Calculate the probability of not picking a boy

The probability formula is (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). The number of favorable outcomes (not picking a boy, i.e., picking a girl) is (18), and the total number of outcomes is (30). So (P = \frac{18}{30}=\frac{3}{5}).

Answer:

B. (\frac{3}{5})