Answer : The probability that p on LM is,
![(4)/(11)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jk18qqq50pzuuoq89ooebk6m4ed878hijk.png)
Step-by-step explanation :
Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
![\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/frwb3rqhnas0xawb7a3783leyq6d78gbo4.png)
Favorable outcomes on line KN are, 2, 4, 5
Favorable outcomes on line LM is, 4
Number of favorable outcomes = 4
Total number of outcomes = 2 + 4 + 5 = 11
![\text{Probability}=\frac{\text{Number of favorable outcomes for a multiple of 3}}{\text{Total number of favorable outcomes}}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1zpiqqhbn3f5z2yhdwdutzx0lm98qpob87.png)
![\text{Probability}=(4)/(11)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6nz8ud0m64iyp6vpsowt77pqz4jheb2vuw.png)
Therefore, the probability that p on LM is,
![(4)/(11)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jk18qqq50pzuuoq89ooebk6m4ed878hijk.png)