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Home Question Bank Math Probability Archive 2024 November 12

Probability Questions from Nov 12,2024

Browse the Probability Q&A Archive for Nov 12,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Actividades de aprendizaje Razonamiento probabilidad de sacar una bola a. ¿Cuál es la probabilidad de s. b. ¿Cuántas bolas blancas cont c. ¿Cuál es la probabilidad des amarilla? P(green) Nancy has a box containing only 2 orange counters and 4 white counters. She takes a counter from the box at random and does not replace it. She then takes another counter from the box at random. a) Is it more likely that Nancy takes two counters of the same colour or two of different colours? b) What is the difference between the two probabilities? Give your answer as a fraction in its simplest form. Um grupo de 100 estudantes de línguas, 20 escolheram Francês, 60 Inglês e 10 escolheram ambas as línguas. Se for escolhido um estudante ao acaso, a probabilidade de ter escolhido apenas Inglês é: a. 0,5 b. 0,6 a c. 0,1 d. 0,9 Numa turma com 30 alunos ( 20 raparigas e 10 rapazes), \( 5 \% \) dos rapazes e \( 6 \% \) das raparigas têm classificaçōes superiores a 14 valores. Seleciona-se um aluno ao acaso e verifica-se que tem classificaçào superior a 14. Considere os acontecimentos "ser aluno com classificação superior a \( 14^{\circ} \) e "ser rapaz". Qual a probabilidade da realizaçào simultânea daqueles dois acontecimentos, se forem agora considerados independentes. a. \( 0.01(9) \) b. \( 0.01(8) \) c. \( 0.01(3) \) d. \( 0.01(7) \) Numa turma com 30 alunos, 20 são rapazes. Pretende-se escolher quatro alunos para formar uma comissão representativa da turma. Qual a probabilidade de que na comissão haja dois rapazes e duas raparigas? In a class of 25 students, 12 like maths(M), 9 like science(S) and 3 like both. Find the probability that a randomly selected student likes neither maths nor science. 19. a. If a coin is tossed once and the spinner is spun once, what is the sample space of the experiment? b. What is the probability of getting heads and an even number? (ii) A student calculates: \( \begin{array}{l}P(A \cap B)=\frac{369}{500} \times \frac{173}{500}=0.2553 \\ \text { State an assumption that the student has made in their calculation and discuss whether } \\ \text { (or not) this assumption is likely to be valid. }\end{array} \) Let \( A \) be the event 'student is a junior' and \( B \) be the event 'student took some form of public transport to get to school'. (i) Explain whether \( A \) and \( B \) are mutually exclusive events. Support your answer with statistical reasoning.
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