Matias has a bag of 25 marbles, 13 white, and 12 black. What is the probability of Matias picking a white marble and without putting it back, then picks a black marble?
Mary has a bag of jelly beans: 6 green, 4 pink, 2 white, 5 yellow, 3 orange, and 1 purple. What are the chances of Mary blindly picking out 1 yellow jelly bean to eat?
X is normally distributed with mean 12 and standard deviation 4. (a) Find the probability that X will be more than 10.
A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards.
A bag of 10 marbles contains 3 red marbles and 7 blue marbles. If two marbles are selected at random, what is the probability that at least one marble is blue?
In how many ways can 11 # signs and 8* signs be arranged in a row so that no two * signs come together?
Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}.
From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again.
Jerome wrote each of the integers 1 through 20, inclusive, on a separate index card.
There are three secretaries who work for four departments.
A community of 3 people is to be selected from 5 married couples, such that the community does not include two people who are married to each other.
A buyer buys 3 different items out of the newly introduced 10 different items.
The probability of having a girl is identical to the probability of having a boy. In a family with three children, what is the probability that all the children are of the same gender?
In a department store prize box, 40% of the notes give the winner a dreamy vacation; the other notes are blank.
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number?
How many four-digit numbers that do not contain the digits 3 or 6 are there?
A computer game has five difficulty levels. In each level you can choose among four different scenarios except for the first level, where you can choose among three scenarios only.
Ruth wants to choose 4 books to take with her on a camping trip. If Ruth has a total of 11 books to choose from, how many different book quartets are possible?
A drawer holds 4 red hats and 4 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats
How many 5 digit numbers can be created if the following terms apply:
How many 8-letter words can be created using computer language (0/1 only)?
The telephone company wants to add an area code composed of 2 letters to every phone number.
What is the probability of getting a sum of 8 or 14 when rolling 3 dice simultaneously?
. How many diagonals does a polygon with 18 sides have if three of its vertices do not send any diagonal?
How many diagonals does a polygon with 21 sides have, if one of its vertices does not connect to any diagonal?