Q:
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 \( \$ 5 \). If Kyd selects any other type of
card, he pays North \( \$ 3 \).
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? Select an answer -
Q:
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 \( \$ 5 \). If Kyd selects any other type of
card, he pays North \( \$ 3 \).
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? Select an answer -
Q:
Kyd and North are playing a game. Kyd selects one card from a standard 52 -card deck. If
selects a face card (Jack, Queen, or King), North pays him \( \$ 6 \). If Kyd selects any other type
card, he pays North \( \$ 2 \).
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? Select an answer -
Q:
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 \( \$ 3 \).
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? Select an answer -
Q:
A bag contains 3 gold marbles, 9 silver marbles, and 21 black marbles. Someone offers to play
this game: You randomly select one marble from the bag. If it is gold, you win \( \$ 4 \). If it is silver,
you win \( \$ 2 \). If it is black, you lose \( \$ 1 \).
What is your expected value if you play this game?
Q:
Ben buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 5
sugar cookies and 4 oatmeal cookies. What is the probability that Ben randomly selects a
peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie?
Express you Inswer as a reduced fraction.
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Q:
A box contains 3 red, 11 blue, and 9 green marbles.
a) Two marbles are selected at random with replacement. Find the probability they are both
red.
b. Two marbles are selected at random without replacement. Find the probability that the first
is blue and the second is green.
c. Two marbles are selected at random without replacement. Find the probability that the first
is blue and the second is yellow.
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Q:
In parts (a) and (b) consider the following two events and then determine whether the events
are independent or dependent.
(a) Event 1: Owning a cat, Event 2: Planting a flower garden
Independent
Dependent
(b) Event 1: One randomly selected student gets an A on the biology exam, Event 2: One
randomly selected student gets selected to speak at graduation
Independent
Dependent
Q:
Une roseraie livre des fleuristes par lots de 100 roses. Afin de fidéliser ses clients, elle rembourse un lot lorsqu'il cor
strictement plus de 5 roses fanées, Une étude a montré que \( 4 \% \) des roses livrées sont fanées. On choisit un lot au hasard
note \( X \) la variable aléatoire qui compte le nombre de roses fanées de ce lot.
1) Quelle est la loi suivie par la variable aléatoire \( X 7 \) Justifier.
2) A laide du menu a Probabilités o de la calculatrice, déterminer la probabilité, arrondie à \( 10^{-3} \) près, que :
a. 8 roses exactement soient fanées.
b. 4 roses ou moins soient fanées.
c. le lot soit remboursé au fleuriste.
3) Le chef des ventes de la roseraie souhaite que le nombre de lots remboursés n'excède pas \( 1 \% \) des lots livrés. Pot
il augmente le nombre minimum \( k \) de roses fanées à partir duquel le lot est remboursé.
A laide de la calculatrice, déterminer la valeur de cet entier \( k \).
Q:
A certain game involves tossing 3 fair coins, and it pays \( 14 \ell \) for 3 heads, \( 5 \& \) for 2 heads, and \( 2 \& \) for 1 head. Is \( 5 \& \) a fair price to pay to play this game? That is, does the \( 5 \notin \) cost to play make the game fair?
The \( 5 \& \) cost to play 1 a fair price to pay because the expected winnings are
(Type an integer or a fraction. Simplify your answer.)
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