Question

The different timings at which Sachin comes to the office on different days of the week is 1pm, 3pm, 8am, 4am, 7am, 12pm, 5pm. Find the probability that Sachin comes on a particular day before 10am.

• A. $\frac{3}{7}$
• B. $\frac{4}{7}$
• C. $\frac{2}{7}$
• D. $\frac{1}{7}$

Answer 1

The correct option is A

$\frac{3}{7}$

Experimental probability is defined as, P(E)= $\frac{\text{Number of trails in which event happened}}{\text{Total number of trials}}$

As there are 7 days in a week n(S) = 7

Let E be the event for Sachin to come before 10am.

N(E) = 3 (8am, 4am, 7am)

P(E) $=\frac{n\left(E\right)}{n\left(S\right)}=\frac{3}{7}$.