The probability that the first buyer will make a purchase is 0.7, and the second – 0.8.

The probability that the first buyer will make a purchase is 0.7, and the second – 0.8. What is the probability that at least one purchase will be made if they are made independently of each other?

Probabilities of making a purchase by each customer
p1 = 0.7;
p2 = 0.8;
Probabilities of not making a purchase:
q1 = 1 – p1 = 1 – 0.7 = 0.3.
q2 = 1 – p2 = 1 – 0.8 = 0.2.
These events are independent, then the probability that both buyers will not make a purchase is equal to the product of the probabilities:
P = q1 q2 = 0.3 0.2 = 0.06.
The probability of an opposite event such that at least one purchase will be made:
P` = 1 – P = 1 – 0.06 = 0.94.
Answer: The probability that at least one purchase will be made is 0.94.