Tema
Q:
Question 1 (10 points): In the game of Roulette, the probability of a given spin landing on Red is
18/38. What is the probability that over four spins of the Roulette wheel, exactly two spins land
on Red? \( \quad \) * Binomial Mandom Variable : \( P(X=x)=\binom{N}{x} P^{x}(1-p)^{N-x} \)
Q:
How many passwords are possible if digits may not be repeated?
There are five tiles in a bag, labeled W, O, R, D, and S. A tile is chosen at
random and then another tile is chosen at random. Determine whether the
following events are independent or dependent.
(Ex4) Choose W and then choose S , if the first tile is replaced before the
f. Second tile is chosen.
g. Choose W and then choose S , if the first tile is not replaced before the
second tile is chosen.
h. There are 9 players in a starting baseball lineup. How many ways can
batting positions 1,2 , and 3 be filled, choosing from 9 players?
Q:
e. A student is choosing a four-digit password to use for her bank accour
How many passwords are possible if digits may not be repeated?
There are five tiles in a bag, labeled W, O, R, D, and S. A tile is chosen at
random and then another tile is chosen at random. Determine whether the
following events are independent or dependent.
(Ex 4 . Choose W and then choose S, if the first tile is replaced before the
second tile is chosen.
Q:
1. En una urna donde hay dos bolas rojas y tres bolas verdes. Sacamos una bola, anotamos su color y la
devolvemos a la urna. Realizamos este proceso tres veces. Realiza el diagrama de árbol y responde: ¿la
probabilidad de que las tres bolas sean iguales es de?
a. 0,216
b. 0,28
c. 0,72
d. 0,064
Q:
f. Choose W and then choose S, if the first tile is replaced before the
second tile is chosen.
Q:
e. A student is choosing a four-digit password to use for her bank account.
How many passwords are possible if digits may not be repeated?
Q:
1. En una urna donde hay dos bolas rojas y tres bolas verdes. Sacamos una bola, anotamos su color y la
devolvemos a la urna. Realizamos este proceso tres veces. Realiza el diagrama de árbol y responde: ¿la
probabilidad de que las tres bolas sean iguales es de?
a. 0,216
b. 0,28
c. 0,72
d. 0,064
Q:
1. En una urna donde hay dos bolas rojas y tres bolas verdes. Sacamos una bola, anotamos su color y la
devolvemos a la urna. Realizamos este proceso tres veces. Realiza el diagrama de árbol y responde: ¿la
probabilidad de que las tres bolas sean iguales es de?
a. 0,216
b. 0,28
c. 0,72
d. 0,064
Q:
2. A number is chosen at random from the whole numbers 21 through
40 . How many outcomes are in the event choose a perfect square or a
multiple of 8 or a prime number? List all the outcomes.
Q:
Lesson Practice
a. A student has four choices for a T-shirt: red, white, blue, and black. He
has 2 choices for pants: jeans or khakis. How many different outfits can
he make, using one T-shirt and one pair of pants? Make a tree diagram
to show all possible outcomes.
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