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Home Question Bank Math Probability Archive 2024 December 31

Probability Questions from Dec 31,2024

Browse the Probability Q&A Archive for Dec 31,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card? 23. What is the probability that a random arrangement of the letters of the word RESUME has an E on each end? A. 0.067 B. 0.076 C. 0.089 D. 0.095 Se a probabilidade de um evento A ocorrer é 0,3 e a probabilidade de um evento B ocorrer é 0,5, quais são as chances de ambos os eventos ocorrerem se eles forem independentes? ने की प्रायिकता क्या है? क थैले में 4 लाल और 4 काली गेंदें हैं और एक अन्य थैले में 2 लाल और 6 काली दोनों थैलों में से एक को यादृच्छया चुना जाता है और उसमें एक गों निकाली जाती है क. लाल है। इस बात की क्या प्रायिकता है कि गेंद पहले थैले से निकाली गां है? Explain how the probability of two independent events occurring together is calculated. similarly \( P\left(A / E_{2}\right)=8 / 10 \), and \( P\left(A / E_{3}\right)=4 \) given that the ball drawn is red, what is the third bag by Baye's rule \( =\frac{1}{\frac{1}{3} \times \frac{3}{10}+\frac{1}{3} \times \frac{4}{10}+\frac{1}{3} \times \frac{4}{10}} \) Example 3.12 : Three machines \( E_{1}, E_{2}, E_{3} \) \( 25 \% \), respectively, of the total daily outpl the tubes produced one each of machine those produced on \( E_{3} \) are defective. If on (Bayes' theorem) Example 3.11: Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 re balls respectively. 1 of the bags is selected at random and a ball is draw the ball drawn is red, find the probability that it is drawn from the thirc Sol: Let \( E_{1}, E_{2}, E_{3} \), and A are the events defined as follows. \( E_{1}= \) First bag is chosen \( E_{2}= \) Second bag is chosen \( E_{3}= \) Third bag is chosen \( \mathrm{A}= \) Ball drawn is red Since there are three bags and one of the bags is chosen at random, so \( \mathrm{P}\left(E_{1}\right)=\mathrm{P}\left(E_{2}\right)=\mathrm{P}\left(E_{3}\right)=1 / 3 \) If \( E_{1} \) has already occurred, then first bag has been chosen which conta black balls. The probability of drawing 1 red ball from it is \( 3 / 10 \). So, \( \mathrm{P}( \) 37 Explain how the probability of two independent events occurring together is calculated. If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card? D. 48 6. Three coins are thrown. What is the chance of throwing 2 heads and a tai in any order?
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