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Home Question Bank Math Probability Archive 2024 November 18

Probability Questions from Nov 18,2024

Browse the Probability Q&A Archive for Nov 18,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Suppose that \( E \) and \( F \) are two events and that \( P(E \) and \( F)=0.2 \) and \( P(E)=0.8 \). What is \( P(F \mid E) \) ? \( P(F \mid E)=\square \) (Type an integer or a decimal.) 3.- PROBABILIDAD CLásicA A).- Entre 7 personas se reparten 5 cartas cada uno, el objetivo del juego es quien obtiene la combinacion más alta de cartas, entonces, ¿Cuál es la probabilidad que tiene cada uno de ganar la ronda? A="número menos que 5" B=" múltiplo de tres" \( \begin{array}{l}\text { C="número par" } \\ \mathrm{D}=\text { "obtener un } 5 "\end{array} \) a) Halla el espacio muestral correspondiente al lanzamiento de un dado. \( (0,5 \) puntos) Suppose you are going to flip a coir and spin a spinner with sixteen equal sections labeled 1 through 16 . Find the size of the sample space. (b) What is the probability that at least one has not danced in public while under the influence of alcohol? (Round to four decimal places as needed.) (R) Among 21 - to 26 -year-olds, \( 37 \% \) say they have danced in public while under the influence of alcohol Suppose five 21 - to 26 -year-olds are selected at random. Complete parts (a) through (d) below. (a) What is the probability that all five have danced in public while under the influence of alcohol? (Round to four decimal places as needed.) You are going to go on a walk from your house to the store, then to your friend's house, and finally back home. There are 8 ways to get from your house to the store, 4 ways to get from the store to your friend's house, and 9 ways to get from your friend's house back to your house. How many possible routes can you take on your walk? Find the probability of getting all heads when flipping a coin 4 times. (write your answer as a reduced fraction) Players in sports are said to have "hot streaks" and "cold streaks. "For example, a batter in baseball might be considered to be in a slump, or cold streak, if that player has made 10 outs in 10 consecutive at-bats. Suppose that a hitter successfully reaches base \( 27 \% \) of the time he comes to the plate. Complete parts (a) through (d) below. (a) Find the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events. Hint: The hitter makes an out \( 73 \% \) of the time, P(hitter makes 10 consecutive outs) \( =\square \) (Round to five decimal places as needed.) Consider the evert of a coin being fifped four tines if that event is repeated ten thousand different times, it is expected that the event would result in four tals about timels) (Round to the nearest whole mumber as needed)
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