Probability Questions from Nov 20,2024

Browse the Probability Q&A Archive for Nov 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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If \( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})=0.16 \) and Event \( A \) and \( B \) are independent, which of the following could be possible probabilities for \( A \) and \( B \) ? Si se cruzan dos plantas de flores amarillas con genotipo Aa, la probabilidad de que la descendencia de 5 individuos, 3 plantas con flores amarillas y 2 con flores blancas, siendo el color amarillo el predominante, es: If \( P(A)=0.5, P(B)=0.4 \), and \( P(B \mid A)=0.3 \), then \( P(A \) and \( B) \) is Unions and Intersections of Events Quick Check A number cube is rolled once. In Event \( A \), the number rolled is odd and in Event \( B \), the number rolled is a multiple of 3 . What is the probability of \( A \cup B \) ? (1 point) \( P(A \cup B)=\frac{1}{3} \) \( P(A \cup B)=\frac{1}{6} \) \( P(A \cup B)=\frac{2}{3} \) \( P(A \cup B)=\frac{5}{6} \) A coin is tossed two times. In Event \( A \), each toss is different. What is the probability of the complement of Event \( A \) ? \( O P\left(A^{C}\right)=\frac{3}{4} \) \( P\left(A^{C}\right)=\frac{1}{4} \) \( P\left(A^{C}\right)=\frac{1}{2} \) \( P\left(A^{C}\right)=0 \) \( N \) Graphing Calculator Pour s'habiller, LIAM doit porter : Jne chemise à choisir parmi 4 chemises possibles \( C_{1}, C_{2}, C_{3} \) et \( C_{4} \). In pantalon Jeans à choisir parmi 3 pantalons Jeans \( J_{1}, J_{2} \) et \( J_{3} \). Jne paire de chaussure à choisir parmi deux paires de chaussures \( P_{1} \) et \( P_{2} \) re ci-après représente toutes les possibilités qu'a LIAM pour s'habiller. ASD-sided number cube is rolled twice. Doubles are rolled in Event \( A \). What is the probability of the complement of Event \( A \) ? (1 point) Graphing Calculator allo has a bag containing 80 marbles that are either green, yellow or red in colour. \( \frac{3}{5} \) of the rbles are green and \( 10 \% \) of the marbles are yellow. Paballo picks TWO marbles out of the bag, at a time and without replacing the first one. 1 How many red marbles are in the bag? 2 Draw a tree diagram to represent the above situation. 3 What is the probability that Paballo will choose a GREEN and a YELLOW marble? Bir fotokopi makinesi arızaya geçtiğinde üzerine konulan kağıt adedi kaç tane olursa olsun \% \%10 olasılıkla konulan kağıt adedinin 1 fazlası kadar \% \%40 olasılıkla konulan kağıt adedinin 1 eksiği kadar - \%50 olasılıkla konulan kağıt adedi kadar çıktı vermektedir. \( \begin{array}{lll}\text { Murat, } 35 \text { sayfalık; Gökmen, } 34 \text { sayfalık fotokopiyi içerisin- } \\ \text { de yeterli miktarda kağıt bulunan aynı fotokopi makinesin- } \\ \text { de çekmek istemektedir. } \\ \begin{array}{lll}\text { Buna göre, fotokopi çekme işleminin sonunda her iki- } \\ \text { sinde de aynı sayıda kağıt olması olasılığı yüzde kaç- } \\ \text { tır? } & \text { B) } 30 & \text { C) } 35\end{array} \\ \begin{array}{lll}\text { A) } 25 & \text { D) } 40 & \text { E) } 50\end{array}\end{array} \$ \begin{array}{l}\text { B }\end{array} \) Each time a coin is flipped, it has a \( 50 \% \) chance of landing on heads and a \( 50 \% \) chance of landing on tails. The coin will be flipped 4 times. What is the probability it will land on tails all 4 times? \( \frac{1}{16} \) \( \frac{1}{8} \) \( \frac{1}{4} \) \( \frac{1}{2} \)
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