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Home Question Bank Math Probability Archive 2025 January 22

Probability Questions from Jan 22,2025

Browse the Probability Q&A Archive for Jan 22,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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If event A has a probability of \( 0.5 \) and event B has a probability of \( 0.3 \), what is the probability that both events occur? 2. Answer the following questions. A random variable \( X \) has a mean 8 , a variance 9 , and an unknown probability distribution. Using Chebyshev's theorem, find the lower bound of \( P(|X-8| \geq 6) \). *The Quarterly Examination has ten True- False questions. How many different choices for answering the ten questions are possible? QUIZ \#1 Zadanie 31. \( (0-1) \) Rzucamy trzykrotnie sześcienną symetryczną kostką do gry. Dokończ zdanie. Wybierz wlaściwą odpowiedź spośród podanych. Prawdopodobieństwo tego, że za każdym razem wypadnie taka sama liczba oczek jest rón \( \begin{array}{llll}\text { A. } \frac{1}{216} & \text { B. } \frac{1}{6} & \text { C. } \frac{1}{36} & \text { D. } \frac{5}{216}\end{array} \) Whe Hawairan language has 12 letters: five vowels and seven consonants, Each of the 12 Hawaran leners are written on a slip of paper and placed in the bag. Aletter is randomly chosen from the bag and then replaced. Then, second lether is randomly chosen from the bag. What is the probability that two vowels are chosen? ( \( \frac{5}{72} \) \( 0 \frac{25}{144} \) \( 0 \frac{7}{12} \) \( \frac{5}{6} \) Which events are independent? Select three options. Roll a number cube, and then roll the same number cube again. Flip a coin, and then flip the coin a second time. Rraw a card from a deck, replace it, and then draw a second card. Take a marble out of a bag, and then take a second marble out of the bag. An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of a visiter riding its smallest roller coaster is 20 percent, and the probability of a visitor riding both roller coasters is 16 percent. Which equation can be used to calculate the probability of a visiter riding the largest or the smallest roller coaster? \( P( \) largest of smallest \( ) \equiv 0.30=0.20 \) \( P( \) largest or smallest \( ) \equiv 0.30 \neq 0.15=0.20 \) \( P( \) largest or smallest \( )=0.30+0.20=0.15 \) \( P( \) largest of smallest \( )=0.30 \neq 0.20 \) When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the probability that she hits a single is 15 percent and the probability that she hits a double is 5 percent. What is the probability that Josephine hits a single or a double when she is at bat? 3 percent 10 percent 20 percent 75 percent A month of the year is chosen at random. What is the probability that the month starts with the letter \( J \) or the letter \( \frac{5}{24} \) \( \frac{1}{6} \) \( \frac{1}{4} \) \( \frac{5}{12} \) A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter \( \frac{5}{24} \) \( \frac{1}{6} \) \( \frac{1}{4} \) \( \frac{5}{12} \)
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