# Thread: Help with some statistics problems

1. ## Help with some statistics problems

1. a particular student owns five different styles of jeans, seven different colored shirts, twelve different pair of socks and three pair of shoes. If the student changes clothes exactly two times a day, how many days could pass before the student would wear an outfit that had been previously worn?

2.
A 13-year old girl has 14 female classmate friends, 6 who are 13 and the rest who are 14. She can only invite 6 to a slumber party. Under these conditions, determine the probability that randomly selecting she will have an equal number of 13 year old friends and 14 year old friends invited to her slumber party.

3.A combination lock has 30 numbers on the dial (0 through 29). How many different 3 digit combinations are possible for a lock of this type?

4.
Determine the probability that exactly 2 red marbles will be drawn in two separate draws (without replacement) from a bowl that contains 16 red marbles, 14 blue marbles and 10 white marbles.

5.
In how many different ways could five different monetary prizes be randomly distributed to nine eligible people if no one may receive more than one prize?

If you know any of these please reply?

2. ## Re: Help with some statistics problems

1. Find the number of combinations of clothing and divide by 2
3. There are 30 ways of arranging the first number, 30 ways of arranging the second number, 30 ways of arranging the third number. How many ways can you arrange all three?

4. The chance of choosing a red marble is $\frac{number\;of\;red\;marbles}{number\;of\;marble s\;in\;bag}$ Note that the number of marbles changes after you take one. Find the chance of choosing a red marble first AND a red marble second.
5. There are 9 and you pick 5 people to have get a prize. The number of ways of doing that is 9P5 (the nPr button on your calculator). nPr is used when position matters, nCr is used when position doesn't matter; for example if you choose 5 people out of 10 to go to a party with you it doesnt matter who you phone first , just that you chose them so 10C5 is used, if you pick 5 people out of 10 to rank them as your best friends then it does matter which position you put them in so 10P5 is used.