Aarushi and Avni visit a particular office in the same week (Mond… - Vidyadip

MCQ

Aarushi and Avni visit a particular office in the same week (Monday to Friday). Each is equally likely to visit the office on any one day as on another. The probability that both will visit the office on two consecutive days is

A
$\frac{11}{25}$
✓
$\frac{8}{25}$
C
$\frac{7}{25}$
D
$\frac{9}{25}$

✓

Answer

Correct option: B.

$\frac{8}{25}$

(b) Aarushi and Avni each can visit the particular office on any one of the 5 days of the week. So, the total number of ways of visiting the office by Aarushi or Avni or both, is 5 x 5 = 25. ∴ Total number of elementary events = 25. Aarushi and Avni both can visit the office on two consecutive days in the following ways:

Aarushi:M T W Th	Avni: M T W Th
Avni: T W Th F	Aarushi: T W Th F

$\therefore \quad$ Favourable number of elementary events $=8$
Hence, required probability $=\frac{8}{25}$.

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