Question

A large consumer goods company ran a television advertisement for one of its soap productions. On the basis of a survey that was conducted, probabilities were assigned to the following events. B = individual purchased the product S = individual recalls seeing the advertisement B ∩ S = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P (B) = 0.20, P (S) = 0.40, P (B ∩ S) = 0.12. What is the probability that an individual purchased or recalls seeing the advertisement.

Answer 1

`P(B\ u\ S) = 0.48`

Explanation:

Given

`P(S) = 0.40`

`P(B) = 0.20`

`P(B\ n\ S) = 0.12`

Required

Determine
`P(B\ u\ S)`

In probability, the relationship between the given parameters and the required is:

`P(B\ u\ S) = P(S) + P(B) - P(B\ n\ S)`

Substitute values for P(S), P(B) and P(B n S)

`P(B\ u\ S) = 0.40 + 0.20 - 0.12`

`P(B\ u\ S) = 0.48`

Hence;

The probability that of purchasing or recalling is 0.48