Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Total number of red disk=6
Total number  of yellow disk=2
Total disk=6+2=8
Odd number=1,3,5,7=4
Odd number on red disk=1,3,5=3
Probability,[tex]P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}[/tex]
Using the formula
The probability of getting odd number disk=[tex]\frac{4}{8}=\frac{1}{2}[/tex]
The probability of getting odd numbered  red disk=[tex]\frac{3}{8}[/tex]
The probability of selecting a red disk,given that an odd numbered disk is selected=[tex]\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}[/tex]
Using conditional probability
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]