(a) List the outcomes constitution each of the following four events A = Event a male is appointed chairperson B = Event Holly is appointed chairperson C = Event Will is appointed secretary D = Event only females are appointed (b) Calculate P(not A) (c) Calculate P(B and D)
A committee consists of five executives, three women and two men. Their names are Maria (M),
John (J), Susan (S), Will (W) and Holly (H). The committee needs to select a chairperson and a secretary. It
decides to make the selection randomly by drawing straws. The person getting the longest straw will be
appointed chairperson, and the one getting the shortest straw will be appointed as secretary. The possible
outcomes can be represented in the following manner.
MS SM HM JM WM MH SH HS JS WS
MJ SJ HJ JH WH MW SW HW JW WJ
Here, for example, MS represents the outcome that Maria is appointed chairperson and Susan is appointed as
secretary.
(a) List the outcomes constitution each of the following four events
A =
B = Event Holly is appointed chairperson
C = Event Will is appointed secretary
D = Event only females are appointed
(b) Calculate P(not A)
(c) Calculate P(B and D)
(d) Calculate P(B or C)
(maria,susan and holly are female/women and john and will are male)
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