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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. - Mathematics

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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. 

Sum

Solution

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`

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Chapter 25: Probability - Exercise 25 (C) [Page 396]

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Selina Mathematics [English] Class 10 ICSE
Chapter 25 Probability
Exercise 25 (C) | Q 30.2 | Page 396
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