Suppose That,in an Experimental Setting,100 Students Are Asked to Choose

question 2

Multiple Choice

Suppose that,in an experimental setting,100 students are asked to choose between Gamble A and Gamble B,where:

Gamble A: The student will receive $5,100 with a 70 percent probability and $200 with a 30 percent probability.

Gamble B: The student will receive $5,100 with a 50 percent probability,$200 with a 25 percent probability,and $0 (nothing) with a 25 percent probability.

What is the expected value (EV) of Gamble B?

• A) EV =0.7 * ($5,100)+ 0.3 * ($200)
• B) EV = 0.5 *($5,100)+ 0.25*($100)+0.25 * ($25)
• C) EV = 0.5 *($5,100)+0.25 *($200)+ 0.25 * ($25)
• D) EV= 0.5 *($5,100)+ 0.25 * ($200)+ 0.25 *($0)
• E) EV =0.5 *($2,600)+ 0.25 *($2,600)+ 0.25 * ($0)

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Definitions:

Diene

Organic compounds containing two double bonds, often involved in polymerization and other chemical reactions.

Dienophile

A compound that has an affinity for bonding with dienes (molecules with two double bonds) in a Diels-Alder reaction, typically featuring an electron-deficient double or triple bond.

Major Organic Product

The principal product formed in the highest yield during a chemical reaction involving organic compounds.

Diene

A compound of organic nature featuring two double bonds, frequently participating in the processes of polymerization and various chemical reactions.