Q:
-as preguntas 9 y 10 se responden de acuerdo con la siguiente información: Un grupo de
amigos está formado por 4 hombres y 4 mujeres.
9. ¿De cuántas maneras diferentes se podrían sentar en una fila de 8 puestos si los del
mismo sexo deben quedar siempre juntos?
Q:
The probability that a leap year has 53
sun days and 53 Mondays is
Q:
34. The probability that a non-leap year has
53 sundays is
Q:
Question 11 (2 points)
A and B are two events.
Given that \( \mathrm{P}(\mathrm{A})=0.25, \mathrm{P}(\mathrm{B})=0.3 \) and \( \mathrm{P}(\mathrm{A} \) and B\( )=0.05 \).
Events A and \( B \) are
Blank \# 1
Blank \# 2 independent not independent
Q:
Question 10 ( 2 points)
There are 10 cups placed facedown on a table. Beneath each cup is a coin. Together,
there are 5 quarters, 2 nickels, and 3 dimes. One cup is selected at random, replaced,
and then another cup is selected.
What is the probability of selecting a quarter followed by a nickel?
\( 7 / 10 \)
\( 3 / 20 \)
\( 1 / 9 \)
\( 1 / 10 \)
Q:
Question 9 (2 points)
Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is
not replaced before selecting the second slip of paper.
What is the probability of selecting a multiple of 3 followed by a multiple of 4 ?
\( 3 / 50 \)
\( 1 / 10 \)
\( 1 / 15 \)
\( 2 / 45 \)
Q:
Which events are independent?
Choose all that apply.
Select 2 correct answer(s)
Two spinners are spun at the same time.
One coin is drawn from a bag of coins after another coin is drawn withou
replacement.
A six-sided number cube is rolled and a coin is flipped.
Two white balls are drawn from a bag of balls without replacing the balls.
Q:
Question 7 (2 points)
A spinner has three same-sized sectors numbered 1,3 , and 5 . The spinner is spun
once and a coin is tossed. H represents heads, and T represents tails.
What is the sample space of outcomes?
\( \{1,3,5, \mathrm{H}, \mathrm{T}\} \)
\( \{1 \mathrm{H}, 3 \mathrm{H}, 5 \mathrm{H}, 1 \mathrm{~T}, 3 \mathrm{~T}, 5 \mathrm{~T}\} \)
\( \{135, \mathrm{HT}\} \)
\( \{11,13,15,31,33,35,51,53,55, \mathrm{TT}, \mathrm{TH}, \mathrm{HT}, \mathrm{HH}\} \)
Q:
tribución de Poisson
2. Una bolsa contiene 1 bola roja y 7 blancas. Se extrae una bola al azar, se observa su color y la bola regresa a
la bolsa y se mezclan
a. Determinar la probabilidad de que en 8 de tales extracciones salga la bola roja 1 vez.
b. Determinar la probabilidad de que en 8 de tales extracciones salga la bola roja 3 veces
Q:
18. ¿De cuántas formas pueden mezclarse los siete colores del arco iris tomándolos
de tres en tres?
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