Question

A probability experiment is conducted in which the sample space of the experiment is S 1,2, 3, 4,5, 6,7, 8, 9, 10, 11, 12, 13, 14, 15]. Let event A = {4, 5, 6.7 and event B = {10, 11, 12]. Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutually exclusive? 14,5, 6,7, 10, 11, 12): yes Ono O () yes 14, 5,6, 7, 10, 11, 12,no

Answer 1

{}; yes

A and B = A $\cap$ B what is common between A and B which is null

A $\cap$ B = {}

The events are mutually exclusive as both can not occur simultaneously