Question

A shop remains closed on Thursday. Boy went to that shop one day. What is the probability that it was closed?
(a) \[\dfrac{1}{7}\]
(b) \[\dfrac{2}{7}\]
(c) \[\dfrac{3}{7}\]
(d) \[\dfrac{6}{7}\]

Answer 1

Hint: The probability of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Complete step-by-step answer:
Before proceeding with the question we should understand the concept of probability. Probability means possibility. It deals with the occurrence of a random event. The value is expressed between zero and one. The probability of all the events in a sample space sums up to 1.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
To find the probability of a single event to occur, first we should know the total number of possible outcomes.
Probability \[=\dfrac{\text {Total number of favourable outcome}}{\text {Total number of possible outcome }}\].
Here in the question the event is that the shop is closed on thursday and the total number of possible outcomes is 7 as there are 7 days in a week. So using this information we get,
Total number of possible outcome \[=7.......(1)\]
Total number of favourable outcome \[=1.......(2)\]
So according to the definition of probability, we will get the probability that the shop is closed on thursday by dividing equation (2) by equation (3).
Hence the probability that the shop is closed \[=\dfrac{1}{7}\].
So option (a) is the right answer.

Note: Here we have to understand that the total possible outcome is 7 days and the favourable number of outcomes is 1 as the shop is closed on thursday. And we have to remember the probability formula as well.