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.

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MrRoyal MrRoyal · Answer 1 · 2020-09-19T03:49:47+02:00

Answer:

[tex]P(B\ u\ S) = 0.48[/tex]

Step-by-step explanation:

Given

[tex]P(S) = 0.40[/tex]

[tex]P(B) = 0.20[/tex]

[tex]P(B\ n\ S) = 0.12[/tex]

Required

Determine [tex]P(B\ u\ S)[/tex]

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

[tex]P(B\ u\ S) = P(S) + P(B) - P(B\ n\ S)[/tex]

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

[tex]P(B\ u\ S) = 0.40 + 0.20 - 0.12[/tex]

[tex]P(B\ u\ S) = 0.48[/tex]

Hence;

The probability that of purchasing or recalling is 0.48