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greg9207
18.04.2020 •
Mathematics
Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects a face card (Jack, Queen, or King), North pays him $6. If Kyd selects any other type of card, he pays North $2. Round to the second decimal place.
a) What is Kyd's expected value for this game? Round your answer to the nearest cent. $
b) What is North's expected value for this game? Round your answer to the nearest cent. $
c) Who has the advantage in this game?
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Ответ:
a) -0.1536
b) 0.1536
c) North has the advantage in this game
Step-by-step explanation:
We can calculate the probability as:
P(Face card) =
P(Non-face card) =
" If Kyd selects a face card, North pays him $6. If Kyd selects any other type of card, he pays North $2."
a) Kyd's expected value for this game
We can write the probability distribution for Kyd as:
Event: Face Card Non-face Card
x: +6 -2
P(x): 0.2308 0.7692
Expected value for Kyd is -0.1536
b) North's expected value for this game
We can write the probability distribution for North as:
Event: Face Card Non-face Card
x: -6 +2
P(x): 0.2308 0.7692
Expected value for North is 0.1536
c) Thus, North has the advantage in this game as the expected value for North is greater than the expected value for Kyd.
Ответ:
dont have a breakdown
Step-by-step explanation: