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.

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 :
(i) the same day
(ii) consecutive day
(iii) different days.

KnowledgeBoat · Accepted Answer

Total number of possible outcomes = 5 × 5 = 25. Let the five days of the week be denoted as Monday by M, Tuesday by T, Wednesday by W, Thursday by Th and Friday by F; then : (i) Favourable cases for employees being absent on same day are : MM, TT, WW, Th Th and FF. No. of favourable cases = 5. Required probability = . Hence, probability that employees remain absent on same day = . (ii) Favourable cases for employees being absent on consecutive day are : MT, TM, TW, WT, W Th, Th W, Th F and F Th. No. of favourable cases = 8. Required probability = . Hence, probability that employees remain absent on consecutive day = . (iii) We know that, Employees being absent on same day and different day are complimentary events. ∴ P(absent on different days) + P(absent on same day) = 1 ⇒ P(absent on different days) = 1 - P(absent on same day) ⇒ P(absent on different days) = 1 - . Hence, the probability that employees remain absent on different days = .

Mathematics

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.

Probability

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Mathematics

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.

Probability

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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. Find the probability that they remain absent on :
(i) the same day
(ii) consecutive day
(iii) different days.

Two dice are thrown simultaneously. What is the probability that :
(i) 4 will not come up either time ?
(ii) 4 will come up at least once ?

Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting :
(i) exactly two heads.
(ii) at least two heads.
(iii) atmost two heads.
(iv) all tails
(v) at least one tail.

From a pack of 52 playing cards, all cards whose numbers are multiples of 3 are removed. A card is now drawn at random. What is the probability that the card drawn is
(i) a face card (King, Jack or Queen)
(ii) an even numbered red card ?