Question

A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0. 5, P(sugar) = 0. 6, and P(cream or sugar) = 0. 7. Determine the P(cream and sugar). 0. 4 0. 5 0. 6 0. 7.

Answer 1

Probability of an event is the measure of its chance of occurrence. The value of the probability P(cream and sugar) is given by: Option A: 0.4

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

For the considered case, the probabilities are:

• P(cream) = 0. 5
• P(sugar) = 0. 6
• P(cream or sugar) = 0. 7

Thus, we get;

P(cream or sugar) = P(cream) + P(sugar) - P(cream and sugar)

0.7 = 0.5 + 0.6 - P(cream and sugar)

P(cream and sugar) = 1.1 -0.7 = 0.4

Thus, the value of the probability P(cream and sugar) is given by: Option A: 0.4

Learn more about probability here:

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