Answer:
Hannah's answer is accurate
Step-by-step explanation:
Hannah determines that the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble is 2/15.
Referring the given figure.
Total no. of balls = 10
No. of blue balls = 4
So, probability of getting blue ball = [tex]\frac{\text{Favorable outcomes}}{\text{total outcomes}}[/tex]
= [tex]\frac{4}{10}[/tex]
= [tex]\frac{2}{5}[/tex]
Now there are 6 numbers on spinner { 1,2,3,4,5,6}
Out of these 6 numbers, 2 numbers are multiples of 3 { 3,6}
So, probability of getting multiple of 3 on spinner = [tex]\frac{2}{6}[/tex]
= [tex]\frac{1}{3}[/tex]
Thus the probability of spinning a multiple of 3 and randomly selecting a blue (B) marble :
= [tex]\frac{2}{5}*\frac{1}{3}[/tex]
= [tex]\frac{2}{15}[/tex]
Thus Option A is correct .
Hannah's answer is accurate
