Question

Committee selection. A committee consists of five executives three woman and two men. Their names are maria (M), John (J), Susan (S) Will (W), 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 secretary. The possible outcome can be represented in the following manner.

Here. for example. MS represent the outcome that maria is appointed chairperson and Susan is appointed secretary. List the outcome constituting 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 female are appointed.

Short answer

Part (a) JM, WM, JS, WS, JH, WH, JW, WJ

Part (b) HM, HS, HJ, HW

Part (c) MW, SW,HW,JW

Part (d) MS, SM, HM, MH, SH, HS

Step-by-step solution

Step 1. Given information. 

Maria(M), John(J), Susan(S), Will(W), and Holly(H) are the possible outcomes for selecting the chairperson and secretary.

MS	SM	HM	JM	WM
MH	SH	HS	JS	WS
MJ	SJ	HJ	JH	WH
MW	SW	HW	JW	WJ

Step 2. The outcomes condtituting

The probability of an event ranges from 0 to 1, with both being inclusive.

It is stated that there are five executives: three females, Maria, Susan, and Holly, and two males, John and Will. And two people are chosen at random to be chairperson and secretary.

A = A male is now appointed as chairperson.

JM, WM, JS, WS, JH, WH, JW, WJ are all possible outcomes.

B = occasion Holly has been elected chairperson.

HM, HS, HJ, and HW are possible outcomes.

C = occasion Will has been appointed secretary.

The possible outcomes are MW, SW, HW, and JW.

D= only females are appointed to the event

MS, SM, HM, MH, SH, and HS are all possible outcomes.