Question

5. For the each of the three parts, (i) Write, in words, the complement of each event. (ii) List all outcomes in the complement. (a) You flip two coins and at most one head comes up. (Again, look at the prompt above.) (b) You roll two dice and no 5' appears. (3.3.2) (c) A basketball player will miss at least one of the next three free throws. (3.3.3) For each of the following three problems, suppose a couple has three children. Furthermore, assume that P(a male child birth) P(a female child birth) 1/2.

Answer 1

a)
i)
Event - getting at most one head
complement - getting two head

ii) Outcomes - {HH}

b)
i)
Compliment - at least 5 occurs one time

ii)

(x,y) where x,y belong {1,2,3,4,6}
total 5*5 = 25 cases

c)
i)
compliment - does not miss ant of three free throws
ii)
SSS where S denote hitting throws