Question

Offices in Delhi are open for five days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same particular week. Find the probability that they remain absent on consecutive day. 

Answer 1

Total number of possible outcomes = 5 × 5 = 25 

The possible outcomes are:

MM, MT, MW, MTh, MF, TM, TT, TW, TTh, TF, WM, WT, WW, WTh, WF, ThM, ThT, ThW, ThTh, ThF, FM, FT, FW, FTh, FF 

Favorable outcomes for two employees remaining absent on consecutive days:

MT, TM, TW, WT, WTh, ThW, ThF, FTh 

Number of favorable outcomes = 8 

P(consecutive days) = `8/25`