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The answers are correct. How do you solve the equation, however, which leads to the right answers?"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.a) What is Kyd's expected value for this game? Round your answer to the nearest cent. -$0.15b) What is North's expected value for this game? Round your answer to the nearest cent. $0.15"

The answers are correct How do you solve the equation however which leads to the right answersKyd and North are playing a game Kyd selects one card from a stand class=

Respuesta :

The probability of selecting face card (jack,queen or king) is

[tex]\begin{gathered} P(\text{jack,queen or king)=}\frac{4+4+4}{52}=\frac{12}{52}=\: 0.23076 \\ \therefore P(\text{jack,queen or king)}=0.23076 \end{gathered}[/tex]

The probability of not selecting a face card (jack,queen or king):

[tex]\begin{gathered} 1-0.23076=0.76924 \\ \therefore P(\text{not selecting face card)=}0.76924 \end{gathered}[/tex]

Therefore,

a) Kyd's Expected value is

[tex]\begin{gathered} 0.23076\times6-0.76924\times2=1.38456-1.53848=-0.15392\approx-0.15(nearest\text{ cent)} \\ \end{gathered}[/tex]

Hence, Kyd's Expected value is

[tex]\text{ -\$0.15}[/tex]

b) North's expected value is

[tex]\begin{gathered} 0.76924\times2-0.23076\times6=0.15392\approx0.15(nearest\text{ cent)} \\ \end{gathered}[/tex]

Hence, North's Expected value is

[tex]\text{ \$0.15}[/tex]

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