Answer: [tex]\dfrac{5}{14}[/tex]
Step-by-step explanation:
Given: An urn contains 3 red and 5 orange marbles.
Total marbles = 3+5=8
Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]
[tex]=\dfrac{5}{8}[/tex]
Now marbles left = 7
Orange marbles left = 4
and Probability of getting orange marble = [tex]\dfrac47[/tex]
The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]
Required probability= [tex]\dfrac{5}{14}[/tex]
