Here is how we can solve each part of the question:
5.2.1 Probability of Selecting the Specific Brand
When there are five available brands and Unathi wants a specific one, the probability that she randomly selects the specific brand is calculated by dividing the number of favorable outcomes by the total number of outcomes:
P ( selecting specific brand ) = 5 1
This means that Unathi has a 1 in 5 chance, or 20%, of choosing the correct brand.
5.2.2 Probability that Dampness Will NOT Appear
We are given the probability that dampness will appear if the incorrect brand is used as 0.75. To find the probability that dampness will NOT appear, we calculate the complement of the given probability:
P ( dampness will NOT appear ) = 1 − P ( dampness will appear )
P ( dampness will NOT appear ) = 1 − 0.75 = 0.25
This means there is a 0.25 probability, or 25%, that dampness will not appear.
5.2.3 Probable Likelihood for 5.2.2
In terms of likelihood, a probability of 25% would be described as 'less likely' according to the probability scale provided. So, the likelihood that dampness will NOT appear if the incorrect ready-mix plaster is used is 'less likely.'