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 the same 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 same day are:

MM, TT, WW, ThTh, FF 

Number of favorable outcomes = 5 

P(same day) = `5/25 = 1/5`