41.6%
Explanation
The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible
Step 1
find the total of out comes possible, it is distance from L to P
distance from L to P=
[tex]\begin{gathered} LM=2 \\ MN=8 \\ NO=10 \\ OP=4 \\ \text{then} \\ LP=2+8+10+4=24 \\ LP=24 \end{gathered}[/tex]
Step 2
find the total number of favorable outcomes( X is on LN)
[tex]\begin{gathered} LN=LM+MN \\ \text{replace} \\ LN=2+8 \\ LN=10 \end{gathered}[/tex]
Step 3
finally, find the probability
[tex]P=\frac{10}{24}=0.416[/tex]
Hence, the probability is 0.416 or 41.6 %
