Combinatorics - math word problems - page 37 of 55
Number of problems found: 1085
- Hearts
3 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacements. What is the probability of choosing 3 hearts in a row? - Stoaches
Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with a mean of 904g and a standard deviation of 104g. State the probability that the sample mean of a random sample of 36 stoach weights excee - Two-Digit Numbers Odd Probability
Jano created 2-digit numbers from the cards 2, 4, 5, 9, and 2. What probability will a randomly generated number be odd? - Cake ratio
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning? - PIN code probability
Martin forgot the 4-digit PIN, and he remembered the first three numbers. The fourth number is odd. What is the probability in % that he will be able to determine the PIN? He has only one attempt. - Event comparison
Compare the odds of pairs of events. A) Slovakia will be the world champion in ice hockey 2 times in a row. B) You will write all the papers this year with at least a double. C) In two years, humans will be on Mars. D) Someone in your class will write all - Word letter creation
How many different four-letter words can we create from the letters of the word JAMA? - Element arrangement ways
Determine the number of arrangements of these six elements: a, a, a, b, b, c. - Lathe
95% of the components manufactured on the lathe comply with the standard, of which 80% of the components are first-class. How likely can we expect a manufactured part to be first class? - Survey women respondents
In the survey, 2/3 of those who correctly answered the question were women. 4/5 of all respondents answered the question correctly. How many women answered correctly if a total of 900 respondents participated in the survey? What proportion of all responde - PIN even probability What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers?
- Number digit sum
How many numbers are less than 200, the digit sum of which is 6? - Two-element combinations
Write all two-element combinations from elements a, b, c, and d. - Four digit codes Given the digits 0-7. If repetition is not allowed, how many four-digit codes greater than 2000 and divisible by 4 are possible?
- Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Seating rules
In a class, there are 28 seats, but in the 5.D class, there are only 24 students. How many ways can students sit? (The class has 14 benches. A bench is for a pair of students.) Result write down as powers of 10 - (logarithm - large number). - Permutation element count
From how many elements can we make 5040 permutations without repetition? - Four-digit eight count
How many four-digit numbers are there in which there are at least three eights - Five-digit digit probability What is the probability that each digit is different in a five-digit number?
- How many 13
How many ways can X³ y⁴ z³ be written without an exponent?
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