Offices in Delhi are open for five days in a week (Monday to Friday). Two employees ofan office remain absent for one day in thesame particular week. Find the probability that they remain absent on :(i) the same day (ii) consecutive day(iii) different days.
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Step-by-step explanation:
Given 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 :(i) the same day (ii) consecutive day(iii) different days.
- So total possible outcomes will be (for first person it will be 5 days and can be absent on any days. So for second person also it will be 5 days.
- So we get 5 x 5 = 25
- So the possibilities can be
- MM, MW, MTh, MF, TM, TT, TW, TTh, TF, WM, WT, WW, WTh, WF, ThM, ThT,ThW, ThTh, ThF, FM, FT, FW, FTh,FF
- Now probability for the same day will be MM, TT, WW, ThTh, FF
- So the number of favourable outcomes = 5
- So total outcomes = 25
- So probability = 5/25
- = 1/5
- Now probability for the consecutive day will be MT,TM, TW,, WT,, WTh, ThW, ThF, FTh
- So the number of favourable outcomes is 8
- So probability = 8/25
- Now probability for different day will be 1 – Probability(same day)
- = 1 – 1/5
- = 4/5
Reference link will be
https://brainly.in/question/15716115
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Answer:
4/5is the final answer
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