Difference between revisions of "Combinatorics Challenge Problems"
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Answer: <math>(\frac{3}{4})</math> | Answer: <math>(\frac{3}{4})</math> | ||
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+ | ==Problem 7== | ||
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+ | A fair coin is tossed <math>10</math> times, each toss resulting in heads or tails. What is the probability that after all <math>10</math> tosses, that there were atleast <math>6</math> heads? | ||
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+ | Answer: <math>(\frac{385}{1024})</math> |
Revision as of 11:48, 23 April 2020
Problem 1
How many distinguishable towers consisting of blocks can be built with red blocks, pink blocks, and yellow blocks?
Answer:
Problem 2
How many ways are there to seat people around the circle if of them insist on staying together?(All people are distinct)
Answer:
Problem 3
When fair sided dice are rolled, what is the probability that the sum of the numbers facing up top is ?
Answer: ()
Problem 4
How many different ways are there to buy fruits when the choices are apples, pears, and oranges?
Answer:
Problem 5
Ms.Carr asks her students to read any 5 of the 10 books on a reading list. Harold randomly selects 5 books from this list, and Betty does the same. What is the probability that there are exactly 2 books that they both select? (Source: AMC 10B 2020).
Answer:
Problem 6*
points are chosen on the circumference of a circle to form a triangle. What is the probability that the circle does not contain the center of the circle?
Answer:
Problem 7
A fair coin is tossed times, each toss resulting in heads or tails. What is the probability that after all tosses, that there were atleast heads?
Answer: