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Probability Questions & Answers

Q:
The Gallup organization found that \( 29 \% \) of Americans own a cat as a pet. Find the probability 3 Americans own a cat as a pet. Round your answer to 4 decimal places.
Q:
4. Draw a histogram to represent the probability distribution for all the sums of TWo five-sided dice. (Hint: the sides of the dice are \( 1,2,3,4 \& 5 \) ) ( 5 marks)
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9. La probabilidad de obtener dos número: distintos en el lanzamiento de dos dados es
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\begin{tabular}{l}\hline 9. La probabilidad de obtener dos números \\ distinios en el lanzamiento de dos dados es: \end{tabular}
Q:
In a lottery game, a player picks six numbers from 1 to 22 . If the player matches all six numbers, they win 30,000 dollars. Otherwise, they lose \( \$ 1 \).
Q:
H6 Se lanza una moneda 100 veces. ¿Cuál es la probabilidad de que el \( 25 \% \) de las veces se obtenga cara? A) \( \frac{1}{4} \) B) \( \left(\frac{1}{2}\right)^{25} \) C) \( \left(\frac{1}{2}\right)^{75} \) D) \( \binom{100}{25} \cdot\left(\frac{1}{2}\right)^{100} \) E) \( \binom{100}{25} \cdot\left(\frac{1}{4}\right)^{25} \cdot\left(\frac{3}{4}\right)^{75} \)
Q:
H6 Se lanza una moneda 100 veces. ¿Cuál es la probabilidad de que el \( 25 \% \) de las veces se obtenga cara? A) \( \frac{1}{4} \) B) \( \left(\frac{1}{2}\right)^{25} \) C) \( \left(\frac{1}{2}\right)^{75} \) D) \( \binom{100}{25} \cdot\left(\frac{1}{2}\right)^{100} \) E) \( \binom{100}{25} \cdot\left(\frac{1}{4}\right)^{25} \cdot\left(\frac{3}{4}\right)^{75} \)
Q:
Durante el recreo, tres amigos lanzan monedas al aire. ¿Cual as el espacio muestral al lanzar las monedas? a) \( \Omega=\{\mathrm{c}, \mathrm{s}, \mathrm{cs}, \mathrm{ss}, \mathrm{scc}, \mathrm{scs}, \mathrm{ssc}, \mathrm{sss}\} \) b) \( \Omega=\{\mathrm{ccc}, \mathrm{ccs}, \mathrm{csc}, \mathrm{css}, \mathrm{scc}, \mathrm{scs}, \mathrm{ssc}, \mathrm{sss}\} \) c) \( \Omega=\{\mathrm{cc}, \mathrm{cs}, \mathrm{csc}, \mathrm{css}, \mathrm{sec}, \mathrm{scs}, \mathrm{ssc}, \mathrm{sss}\} \) d) \( \Omega=\{\mathrm{ccc}, \mathrm{ccs}, \mathrm{csc}, \mathrm{scc}, \mathrm{scs}, \mathrm{ssc}, \mathrm{sss}\} \)
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5. What is the likelihood that we will have at least 1 tail in the 4 flip
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28. Dharma has a bag that contains six pens; three are black, two are blue (3)) and one is red. If Dharma takes one pen out of the bag without looking, a. what is the probability of selecting a blue pen? b. what is the complement of selecting a blue pen?
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