Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1,...
Alyssa and Gabriel play the following game. Alyssa rolls a die. If she rolls a 1, 2, or 3, Gabriel gives Alyssa
$5.
If Alyssa rolls a 4 or 5, Gabriel gives Alyssa
$4.
However, if Alyssa rolls a 6, she gives Gabriel
$24.
a) Determine Alyssa's expectation.
b) Determine Gabriel's expectation.
Homework Answers
Probability of getting {1,2 or 3}=3/6
Probability of getting {4 or 5}=2/6
Probabilityof getting 6= 1/6
Now,
Que#a) Determine Alyssa's expectation.
Solutions:
Expectation (X)=$5*prob{1,2,3}+ $4*prob(4, 5) -$24* prob(x=6)
= 5*3/6+4*2/6-24*1/6=-$1/6
Ans= -$1/6. (loss)
Que(b)
b) Determine Gabriel's expectation.
Solutions:
Gabriel Expectation
= - (Alyssa's expectation
=$1/6. (,profit)
Ans=$1/6
Thanks!
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