OE

We are given a rectangular piece of paper which is divided into 12 regions out of which 5 are shaded.

We need to find the probability of getting a shaded region if one region is selected at random out of 12.
Given that the probability of picking each portion is equal, hence total number of ways
of picking a portion =$𝐶^{12}_1 = 12$

Similarly, total number of ways of picking a shaded portion = $𝐶^5_1 = 5$

Using the formula; 𝑃𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 =𝐹𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 𝐶𝑎𝑠𝑒𝑠𝑇𝑜𝑡𝑎𝑙 𝐶𝑎𝑠𝑒𝑠

Hence, the required probability of selecting a shaded portion from the bag is $\frac{5}{12}$