In a certain state's lottery, 30 balls numbered 1 through 30 are placed in a machine and 5 of them are drawn at random. If the 5 numbers drawn match the numbers that a player had chosen, the player wins $30,000. In this lottery, the order the numbers are drawn in doesn't matter. Compute the probability that you win the prize if you purchase a single lottery ticket.

Q: Sarah is about to draw a card at random from a standard deck of 52 playing cards. If he draws a…

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Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

Q: In a lottery game, a player picks 9 numbers from 1 to 49. If 8 of the 9 numbers match those drawn,…

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Q: The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are not…

A: Given The digits 5, 6, 7, 8, and 9 are randomly arranged to form a three-digit number. (Digits are…

Q: Find the probability of answering the two multiple choice questions correctly if random guesses are…

A: The probability shows how likely an event occurs.

Q: There are 7 male students and 22 female students in a class. If you choose 2 students at random,…

A: We have given that 2 Number of Male students =7 Number of female students =22 Total possible cases =…

Q: Find the indicated probability.  In one town, 39% of all voters are Democrats. If two voters are…

A: From the given information, it is clear thatThe probability that all voters are democrats= 0.39.That…

Q: A die is thrown 5 times. Z= Number of Even numbers. Find the probability of getting exactly 3 even…

A: Givena die is thrown 5 timesn=5probability of getting even number =36=0.5          (since there are…

Q: In a lottery game, a player picks 5 numbers from 1 to 48. If 4 of the 5 numbers match those drawn,…

A: pick 5 numbers from 1 to 48. win second prize if 4 of 5 numbers matches. P(win second prize) = ?

Q: In a bucket there are 5 purple, 15 gray and 25 green balls. If the ball is picked up randomly, find…

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Q: A bag contains 2 red marbles, 5 green marbles, and 7 blue marbles.  You randomly draw a handful of 4…

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Q: A quiz consists of 2 true-false questions and 4 multiple-choice questions (each with 4 choices with…

A: Given data Quiz consists of 2 true-false questions 4 multiple-choice questions Total question = 2+4…

Q: Six free tickets to a Manchester United match at Old Trafford will be shared by drawing lots among…

A: Given that: Number of tickets = 6 Number of boys = 10 Number of girls = 8 Each student can win at…

Q: One card is drawn from a deck of 52 playing cards. Find the probability the card is a red Jack or…

A: In a pack of 52 playing cards,no.of red jack cards=2no.of black cards=26

Q: There are 6 male students and 21 female students in a class. If you choose 2 students at random,…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: One letter of the name "EXTRA" is selected at random. Find the probability that the letter selected…

A: Probability = Number of Possible outcomes/Total outcomes

Q: A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a…

A: spinner contains numbers 1 through 50. s:{1,2,3,.......49,50}total possible outcomes = 50P(spinner…

Q: There are 4 sets of balls numbered 1 through 11 placed in a bowl. If 4 balls are randomly chosen…

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Q: you are dealt two cards successively (withouth replacement) from a shuffled deck of 52 playing…

A: From the given information we want to find the probability of first card is King and second card is…

Q: multiple-choice quiz has 10 questions, each will 4 possible answers. A student answers each…

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Q: In a lottery game, a player picks 5 numbers from 1 to 45. If 4 of the 5 numbers match those drawn,…

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Q: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

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Q: Find the probability that a child flipping an old coin gets the second head on the 6th flip.

A: Consider that tossing coin is a trials . which are independent .  Let's take it as a success  if a…

Q: Find the probability that a randomly selected group of five adults will contain all women. Give your…

A: Let the probability of selecting a man and woman is 1/2

Q: A bag contains 2 cherry, 3 lemon, 4 grape, and 5 watermelon candies. You reach in and grab a handful…

A: Total number of cherries = 2 The probability of getting a cherry = 2/14 = 0.1429 n = 3

Q: A person randomly picks one of the numbers 1, 2 or 3, with identical probability each, and then…

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Q: Find the probability of getting a 2, 4, 5, or 6 when you roll a standard six-sided die

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Q: There are 9 people in a group. They are picking straws to see who has to clean the house. If 1 more…

A: Total number of persons in the group originally = 9 When 1 women entered in the group then  Total…