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Mathematics 16 Online
OpenStudy (anonymous):

Find the number of distinguishable permutations of the letters LUCKY?

jimthompson5910 (jim_thompson5910):

There are 5 letters, so there are 5! permutations Keep in mind something like 7! means 7! = 7*6*5*4*3*2*1 = 5040

OpenStudy (anonymous):

ohhh! wow thank you!! <3

OpenStudy (anonymous):

could you help me with few other problems? :)

jimthompson5910 (jim_thompson5910):

sure

OpenStudy (anonymous):

A six - sided die is rolled. Find the probability of obtaining a number other than 10.

jimthompson5910 (jim_thompson5910):

wait, is there one die or two dice here?

OpenStudy (anonymous):

one:)

jimthompson5910 (jim_thompson5910):

so it's 1 (which signifies 100%) since the numbers 1 through 6 are not 10.

OpenStudy (anonymous):

okay! thanks!! :) 2 more problems please?

jimthompson5910 (jim_thompson5910):

sure go ahead

OpenStudy (anonymous):

A bag contains 2 white marbles, and 1 blue marble. The marbles are randomly selected one at a time. What are the odds of picking the blue marble at the first selection?

jimthompson5910 (jim_thompson5910):

how many blue marbles are there

OpenStudy (anonymous):

one

jimthompson5910 (jim_thompson5910):

how many total?

OpenStudy (anonymous):

3

jimthompson5910 (jim_thompson5910):

so the probability is (# of blue)/(# total) = 1/3

OpenStudy (anonymous):

Ohh! Oki & the last one;

OpenStudy (anonymous):

10 balls numbered from 1-10 are placed in an urn. One ball is selected at a random. Find the probability that it is Not #9.

jimthompson5910 (jim_thompson5910):

How many balls aren't #9?

OpenStudy (anonymous):

1?

jimthompson5910 (jim_thompson5910):

are NOT #9

jimthompson5910 (jim_thompson5910):

there's one ball that's #9, so how many aren't?

OpenStudy (anonymous):

9

jimthompson5910 (jim_thompson5910):

good, how many total?

OpenStudy (anonymous):

10

OpenStudy (anonymous):

9/10 ?

jimthompson5910 (jim_thompson5910):

so the probability is 9/10

jimthompson5910 (jim_thompson5910):

you nailed it

OpenStudy (anonymous):

thank you! :))

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (anonymous):

and can u check something for me?

jimthompson5910 (jim_thompson5910):

sure thing

OpenStudy (anonymous):

8 balls numbered from 1-8 are placed in an urn. If 1 ball is selected at a random, find a probability thats not #7. So it would be; 6/8 ?

jimthompson5910 (jim_thompson5910):

close

jimthompson5910 (jim_thompson5910):

There are 8 balls total right?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

There is only one ball that's #7, correct?

OpenStudy (anonymous):

i think so, or is it like one ball is selected at one time?

jimthompson5910 (jim_thompson5910):

yes we're only selecting one ball

jimthompson5910 (jim_thompson5910):

So there are 8 - 1 = 7 balls that aren't #7

OpenStudy (anonymous):

7/8 ?

jimthompson5910 (jim_thompson5910):

you got it

OpenStudy (anonymous):

thanks! :))

jimthompson5910 (jim_thompson5910):

you're welcome

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