Mathematics - Probability Question with Solution | TestHub

Paragraph: There are five students$S_1, S_2, S_3, S_4$and$S_5$in a music class and for them there are five seats$R_1, R_2, R_3, R_4$and$R_5$arranged in a row, where initially the seat$R_i$is allotted to the student$S_i, i = \mathrm{1,2},\mathrm{3,4},5.$But, on the examination day, the five students are randomly allotted the five seats
Question : For$i = 1,2,3,4$Let$T_i$denote the event that the students$S_i$and$S_{i+1}$do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event$T_1\cap T_2\cap T_3\cap T_4$is