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Recent questions tagged engineeringmathematics
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Probability  Gravner36
We have a fair coin and unfair coin,which always comes out Heads. Choose one at random, toss it twice. It comes out Heads both times. What is the probability that the coin is fair?
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Probability  Gravner35
Roll a die, then select at random, without replacement, as many cards from the deck as the number shown on the die. What is the probability that you get at least one Ace?
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11 hours
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Probability  Gravner34
Flip a fair coin. If you toss Heads, roll 1 die. If you toss Tails, roll 2 dice. Compute the probability that you roll exactly one 6.
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Probability  Gravner33.b
An urn contains 10 black and 10 white balls. Draw 3 b) with replacement . what is probability that all three are white
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Probability  Gravner33.a
An urn contains 10 black and 10 white balls. Draw 3 a) without replacement
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Probability  Gravner32.b
Toss a coin $10$ times. b) at least $7$ Heads are tossed , what is the probability that your first toss is Heads?
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Probability  Gravner32.a
Toss a coin $10$ times. a) that exactly 7 Heads ar tossed.
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Probablity  Gravner31
A lottery ticket consists of two rows, each containing $3$ numbers from $1,2,........,50$. The drawing consists of choosing $5$ different numbers from $1,2,......50$ at random. A ticket wins if its first row contains at least two of the numbers ... Ticket 1 , Ticket 2, and Ticket 4 all win, while Ticket 3 loses. Compute the winning probabilities for each of the four tickets.
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Probability  Gravner30.b
Roll a fair die $10$ times. b) Compute the probability that at least one number occurs exactly once.
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Probability  Gravner30.a
Roll a fair die $10$ times. a) Compute the probability that at least one number occurs exactly $6$ times
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11
Probability  Gravner29
Choose each digit of a $5$ digit number at random from digits $1,...9$. Compute the probability that no digit appears more than twice..
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12
Probability  Gravner28
A group of $20$ Scandinavians consists of $7$ Swedes, $3$ Finns, and $10$ Norwegians. A committee of five people is chosen at random from this group. What is the probability that at least one of the three nations is not represented on the committee?
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12 hours
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Probability  Gravner27
Three married couples take seats around a table at random . Compute Probability(no wife sits next to her husband).
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Probability  Gravner26.c
Roll a single die $10$ times. Computer the following probabilities: c) that you get three $ 1's$ two $2's$ and five $3's$
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Probability  Gravner26.b
Roll a single die $10$ times. Computer the following probabilities: b) that you get at least one $6$ and at least one $5$.
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Probability  Gravner26.a
Roll a single die $10$ times. Computer the following probabilities: a) that you get at least one $6$.
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12 hours
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Probability Gravner 25
Assume that $20$ Scandinavians, $10$ Finns, and $10$ Danes, are to be distributed at random into $10$ rooms, $2$ per room. What is the probability that exactly $2i$ rooms are mixed, $i= 0, . . .5$?
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Probability Gravner 24
You have $10$ pairs of socks in the closet . Picks $8$ socks at random. For every $i$, compute the probability that you get $i$ complete pairs of socks.
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12 hours
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Probability Gravner  23
Roll a die $12$ times. Compute the probability that a number occurs $6$ times and two other numbers occur three times each.
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12 hours
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20
Probability Gravner22
Assume that there are k people in the room. What is the probability that there are two who share a birthday? we will ignore leap years, assume all birthdays are equally likely, and generalize the problems a little:from n possible birthdays, sample k times with replacement.
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12 hours
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21
Probability Gravner21
A large company with $n$ employees has scheme according to which each employee buys a Christmas gift and the gifts are then distributed at random to the employees.What is the probability that someone gets his or her own gift?
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22
Probability  Gravner20
A group of $3$ Norwegians, $4$ Swedes, and $5$ Finns is seated at random around a table. Compute the probability that at least one of the three groups ends up sitting together.
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23
Probability  Gravner15.c
A tennis tournament has $2n$ participants, $n$ Swedes and n Norwegians. First, $n$ people are chosen at random from the $2n$ (with no regard to nationality) and then paired randomly with the other $n$ people. Each pair proceeds to play one match. ... the loser in each of the $n$ matches. (c) Under this assumption, compute the probability that all Swedes are the winners.
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12 hours
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Probability
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24
Probability  Gravner15.b
A tennis tournament has $2n$ participants, $n$ Swedes and n Norwegians. First, $n$ people are chosen at random from the $2n$ (with no regard to nationality) and then paired randomly with the other $n$ people. Each pair proceeds to play one match. An ... loser in each of the $n$ matches. (b) What do you need to assume to conclude that all outcomes are equally likely?
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12 hours
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25
Probability  Gravner  16.c
A group of $18$ Scandinavians consists of $5$ Norwegians, $6$ Swedes, and $7$ Finns. They are seated at random around a table. Compute the following probabilities: (c) that all the Norwegians, all the Swedes, and all the Finns sit together.
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22 hours
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Probability
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probability
gravner
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26
Probability  Gravner  16.b
A group of $18$ Scandinavians consists of $5$ Norwegians, $6$ Swedes, and $7$ Finns. They are seated at random around a table. Compute the following probabilities: (b) that all the Norwegians and all the Swedes sit together, and
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22 hours
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Probability
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Pooja Khatri
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probability
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27
Probability Gravner 17.b
A bag contains $80$ balls numbered {1, . . . , 80}. Before the game starts, you choose $10$ different numbers from among {1, . . . , 80} and write them on a piece of paper. Then $20$ balls are selected (without replacement) out of the bag at random. (b) What is the probability that none of your numbers is selected?
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22 hours
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Probability
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probability
gravner
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28
Probability Gravner 17.c
A bag contains $80$ balls numbered {1, . . . , 80}. Before the game starts, you choose $10$ different numbers from among {1, . . . , 80} and write them on a piece of paper. Then $20$ balls are selected (without replacement) out of the bag at random. (c) What is the probability that exactly $4$ of your numbers are selected?
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22 hours
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Probability
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gravner
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29
Probability  Gravner 18.b
A full deck of $52$ cards contains $13$ hearts. Pick $8$ cards from the deck at random (b) with replacement.in each case compute the probability that you get no hearts.
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22 hours
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Probability
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30
Probability  Gravner6.c
Shuffle a deck of cards. Compute the probability: Probability for(hearts are together)
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22 hours
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Probability
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