There are 3230 students, each with 1 student card. All of them place their student cards into a box, then a professor randomly distributes 1 card to each student. What is the expected number of students that receive their own card back?

Q: If there are 57 cards in a deck and 12 are dealt to each student, how many 12 card possibilities are…

A: Combination Rule:The arrangement of r objects from n different objects is given by:

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

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Q: Pablo randomly picks three marbles from a bag of ten marbles (six red ones, three green ones, and…

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Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: you are to choose two numbers from 1 to 7. What is the probability of choosing the second number…

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Q: From a survey of 60 students attending a university, it was found that 9 were living off campus, 36…

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Q: From a group of seven people, two individuals are to be selected at random. How many selection are…

A: A group of seven people. Two individuals are to be selected at random.

Q: A class contains 12 boys and 18 girls. The teacher calls on students at random to answer a question.…

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Q: There are 24 students in a math class. How many ways are there to select 3 students for a group…

A: There are 24 students in math class.  We have to find number of ways to select 3 students for group…

Q: Five cards are drawn from a standard deck of 52 cards. How many hands of five cards contain exactly…

A: Total hands of five cards contain exactly one spade​ = 13*82251 = 1069263

Q: Find the probability of getting at least 60 heads, when 100 fair coins are tossed.

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Q: A man has 4 shirts, 4 pairs of trousers, 3 pairs of socks and 2 pairs of shoes. How many different…

A: Given Number of shirts = 4 Number of trousers = 4 Number of pair of socks = 3 Number of pair of…

Q: There is a town party in Pleasantville where 6 families of 3 people each get together. If one…

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Q: Thirteen cards are drawn from a deck of ordinary playing cards. Find the probability of selecting 8…

A: Obtain the probability of selecting 8 red cards and 5 black cards.   The probability of selecting 8…

Q: Suppose a box contains 3 red balls and 3 blue balls. You pick balls at random from the box, one at a…

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