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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? Determine whether the problems are asking for the number of permutations, combinations, or neither, There are 6 people on the board of supervisors for a homeowners' association. How many different 3 . porson committeos could be lormed from the 6 people? permutations combinations neither permutations nor combinations In a production of Romeo and Juliet, eight actors are considered for the male roles of Romeo, Mercutio, and Benvolio. In how many ways can the difoctor cast tho malo rolos? permutations combinations neither permutations nor combinations DONE How do you calculate the probability of rolling a total greater than 7 with two six-sided dice? 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? Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink. To the nearest whole percent, what is the probability that a randomly chosen flower from the arrangement is a pink tulip? \( 13 \% \) \( 38 \% \) \( 50 \% \) \( 67 \% \) If events \( A \) and \( B \) are independent, what must be true? \( P(A \mid B)=P(B) \) \( P(A \mid B)=P(A) \) \( P(A)=P(B) \) \( P(A \mid B)=P(B \mid A) \) 9. Під час чемпіонату Європи з футболу для 20 уболівальни- ків, серед яких Микола й Андрій, розігрують 9 квитків на матч Україна-Швеція, 6 квитків на матч Украйна-Франція і 5 квитків на матч Україна-Англія. Яка ймовірність того, що друзі Микола й Андрій вболіватимуть за улюблену ко- манду на одному й тому самому матчі? (a) If the arrow stops on a black slice, then Juan wins a gift card. Find the odds in favor of Juan winning a gift card. (b) If the arrow stops on a black slice, then Juan wins a gift card. Find the odds against Juan winning a gift card. \( \square \) has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue block are \( \frac{5}{12} \). What is the bility of choosing a blue block? (a) Ann is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks character unlocking the treasure chest is \( \frac{9}{20} \). Fing, the odds in favor of her character unlocking the treasur \( \square \)
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