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Home Question Bank Math Probability Archive 2024 December 11

Probability Questions from Dec 11,2024

Browse the Probability Q&A Archive for Dec 11,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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5. Let \( E \) and \( F \) be two events that are mutually exclusive and suppose \( P(E)=0.7 \) and \( P(F)=0.1 \), Compute \( P(E \cap F) \). a. 0.2 b. 0.6 3. Let \( S=\{1,2,3,4,5,6\}, E=\{2,4,6\}, F=\{1,2,5\} \) and \( G=\{4,5\} \) Find the event \( (E \cap F \cap G)^{C} \). 1. Assume the probability of being born a boy is the same as being born a girl. Find the probability that a family with children will have the following composition: The oldest two are girls. (Give the fractional answer, before converting to decimal ) Gegeben sind drei unabhängige Ereignisse mit den Wahrscheinlichkeiten \( P(A)=0,4 ; P(B)=0,8 \) und \( P(C)=0,3 \). Berechnen Sie die Wahrscheinlichkeit für das Ereignis \( D: C \) und \( B \) treten ein, aber nicht \( A \) Geben Sie den Wert als Prozentzahl auf zwei Nachkommastellen gerundet ein und lassen Sie das \%-Zeichen weg. On lance cinq fois de suite une pièce de mon- naie pour jouer à pile ou face. Détermine le nombre de résultats possibles. Question 8 (0 points) A test begins with 5 multiple choice questions with four options on each question. It then has 5 trueffalse questions. a) How many answer keys are possible? b) What is the probability of getting every question correct if a student guesses on each question? Blank 1: Blank \( 2: \) Question 7 ( 0 points) In a certain state's lottery, 48 balls numbered 1 through 48 are placed in a machine and six of them are drawn at random. If the six numbers drawn match the numbers that a player had chosen, the player wins \( \$ 1,000,000 \). In this lottery, the order the numbers are drawn in doesn't matter. Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Show all of the 0 's and then two actual significant digits. Question 6 (1 point) The track team gives awards for the top three runners. There are 10 students from school A and 12 students from school B competing. What is the probability that all three awards will go to a student from school B? Question 5 ( 1 point) A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn from the bag. What is the probability that exactly two of the five are blue? Question 4 (1 point) A biology teacher is preparing a lesson on genetics. He has 12 browned eyed students and 8 blue eyed students. If the teacher is going to choose 5 volunteers for an example, what is the probability that 3 of the volunteers will have blue eyes?
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