Combinatorics - examples - page 2
How many times must throw the dice, the probability of throwing at least one six was greater than 90%?
- Playing cards
How many possible ways are to shuffle 7 playing cards?
At the table sit 8 people, 4 on one side and 4 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit?
From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
How many ways can divide 16 identical candies to 4 children?
- Morse alphabet
Calculate how many words of Morse code to create compiling commas and dots in the words of one to four characters.
From 6 products are 3 scrap. What is the probability that the random pick of 2 products have no defective product?
Annie has a total of $ 702. The money must be divided into stacks so that each buyer has the same amounth of dollars. How many options she have?
- Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
Combination lock will open when the right choice of 3 numbers (from 1 to 25 inclusive) is selected. A. How many different lock combinations are possible? B. Is he combination lock named appropriately?
How many diagonals has convex 14-gon?
We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
- Event probability
The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)?
The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit intercircle is II 0.58. What is the probability that it hits the target circle I or II?
Event N has probability of 0.24. What is the probability that the event N occurs in 8, 5, 4 try.
From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs?
From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red?
- Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
The owner of the house is insured against natural disasters and pays 0.04% annually of the value of house 77 Eur. Calculate the value of the house. Calculate the probability of disaster, if you know that 48% of the insurance is to pay damages.
At party overyone clink with everyone. Together, they clink 171 times. How many people were at the party?
Would you like to compute count of combinations?