Mutually Exclusive Events and Overlapping Events


Mutually exclusive events - probabilty theory

Exhibit 33.3 Mutually exclusive events.

As shown in Exhibit 33.3, the events picking a queen (Q) and picking a king (K) are mutually exclusive; their range of possible values do not overlap. For such mutually exclusive events, the probability that either one or the other will occur, is a summation of their individual probabilities:

$$P(Q \,or \,K) = P(Q) + P(K)$$

The probability that the card is either a queen or a king is 4/52 + 4/52 = 8/52.


Events that are not mutually exclusive - probabilty theory

Exhibit 33.4 Events that are not mutually exclusive.

If Q and H are not mutually exclusive events, their range of possible values will overlap as shown in Exhibit 33.4, and the probability that either will occur is:

$$P(Q \,or \,H) = P(Q) + P(H) - P (Q \,and \,H)$$

The probability that the card is either a queen or a heart is 4/52 + 13/52 – 1/52.


Previous     Next

Use the Search Bar to find content on MarketingMind.







Marketing Analytics Workshop

Marketing Analytics Workshop

In an analytics-driven business environment, this analytics-centred consumer marketing workshop is tailored to the needs of consumer analysts, marketing researchers, brand managers, category managers and seasoned marketing and retailing professionals.


Digital Marketing Workshop

Digital Marketing Workshop

Unlock the Power of Digital Marketing: Join us for an immersive online experience designed to empower you with the skills and knowledge needed to excel in the dynamic world of digital marketing. In just three days, you will transform into a proficient digital marketer, equipped to craft and implement successful online strategies.