Question

An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the 5 vice presidents to attend games with him, and claims he selects the person to attend at random. One of the 5 vice presidents has not been invited to attend any of the last 8 Lakers home games. What is the likelihood this could be due to chance?

Answer 1

Answer: 0.1677

Step-by-step explanation: Two events are said to be independent if the probability that one event occurs does not affect the probability of the other event

occurring, i.e in coin tossing the event of getting a head does not affect the event of getting a tail. Given two

events, A and B that are independent, probability they all occur is given by:

P(A) x P(B)

There are 3 Vice presidents hence the probability of a vice president not being invited = 1 -1/5 = 0.8

The event of inviting the vice presidents are independent, hence :

P(A vice president has not been invited for the last 8 Lakers home games) =

0.8^8 = 0.1677

Hence P(this could be due to chance) =

0.1677