A party host gives two prizes to two different guests chosen at random. There are 10 men and 12 women at the party. What is the probability that the first prize and second prize both go to two different women?

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black ​balls, 11 yellow…

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Q: If you were to select one card randomly from a single deck of 52 card what is the probability of…

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Q: A basket contains 7 red marbles annd 3 white marbles. Three marbles are drawn one after the other.…

A: Here, the sampling method is not specified. The required probability is calculated based on sampling…

Q: Mr. Razo has a hat with 10 slips of paper. There are 5 blue slips, 2 red slips, and 3 black slips.…

A: Mr. Razo has a hat with 10 slips of paper. There are 5 blue slips, 2 red slips, and 3 black slips.

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

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Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: Damon has 14 white socks, 6 black socks, and 4 blue socks in his drawer. If he chooses two socks at…

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Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

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Q: Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second…

A: no.of black cards=26no.of Ace cards=4Total no.of cards=52

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

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Q: vision game show has 9 ​doors, of which the contestant must pick 3. Behind 2 of the doors are…

A: behind 2 doors the  expensive cars  behind 7 doors the consolation prizes total 9 doors   select 3…

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: A science class has 3 girls and 9 boys in seventh grade and 5 girls and 3 boys in eighth grade. The…

A: Given In seventh grade=3 girls,9 boys In eighth grade=5 girls,3 boys

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

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Q: From a group of 10 choldren, a team of 5 (the red team) is randomly chosen. The remaining 5 children…

A: Given from a group of 10 children, a team of 5 children is randomly chosen. The remaining 5 children…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow ​balls, 6 brown…

A: It is given that the number of yellow balls is 8, brown balls is 6 and black balls is 6.

Q: Suppose that you have 7 coins: 3 dimes, 3 quarters, and 1 nickels. Two coins are selected at random.…

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Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: You have a bag of 1 gold coin, 2 red coins and 3 blue coins and you can only select two at random to…

A: Given that the bag contains 1 gold coin, 2 red coins and 3 blue coins. And two coins are selected at…

Q: An urn contains 5 red balls, 3 green balls. Draw 8 balls without replacement. What is the…

A: We can draw the third ball to be red in 5C1=5 ways. We can draw the seventh a green one in 3C1=3…