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Probability question

2018 · Shift 1 · Q36

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PYQ Library
JEE Advanced
Mathematics
Probability
2018 · Shift 1 · Q36

Probability question

2018 · Shift 1 · Q36

JEE AdvancedMathematicsProbabilityMCQ+3 / −1

There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si, i = 1, 2, 3, 4, 5. But, on the examination day, the five students are randomly allotted the five seats. (There are two questions based on Paragraph "A", the question given below is one of them) For i = 1, 2, 3, 4, let Ti denote the event that the students Si and Si+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

A
${1 \over {15}}$
B
${1 \over {10}}$
C
${7 \over {60}}$
D
${1 \over {5}}$

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