Answer:
[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
First time drawing:
Total outcome is 8
Favorable outcome is 2
The probability that the first marble drawing in random is blue is
[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Second time drawing (with no replacement):
Total outcome is 7 (8 - 1 = 7)
Favorable outcome is 2
The probability that the second marble drawing in random is yellow is
[tex]\frac{2}{7}[/tex]
The probability that the first marble is blue and the second marble is yellow is [tex]\frac{1}{4}[/tex] × [tex]\frac{2}{7}[/tex] = [tex]\frac{2}{28}[/tex] = [tex]\frac{1}{14}[/tex]
