Wednesday, June 3, 2020
06/03/2020 (2019: AMC 8, Problem 19)
Q: In a tournament there are six teams that play each other twice. A team earns 3 points for a win, 1 point for a draw, and 0
points for a loss. After all the games have been played it turns out
that the top three teams earned the same number of total points. What is
the greatest possible number of total points for each of the top three
teams?
06/03/2020 (2019: AMC 8, Problem 18)
Q: The faces of each of two fair dice are numbered 1, 2 , 3, 5, 7, and 8. When the two dice are tossed, what is the probability that their sum will be an even number?
![\[\left(\frac{1\cdot3}{2\cdot2}\right)\left(\frac{2\cdot4}{3\cdot3}\right)\left(\frac{3\cdot5}{4\cdot4}\right)\cdots\left(\frac{97\cdot99}{98\cdot98}\right)\left(\frac{98\cdot100}{99\cdot99}\right)?\]](https://latex.artofproblemsolving.com/9/c/a/9ca55aef127eee6fc870173ae1b23e1abd56a02b.png)
06/03/2020 (2019: AMC 8, Problem 16)
Q: Qiang drives 15 miles at an average speed of 30 miles per hour. How many additional miles will he have to drive at 55 miles per hour to average 50 miles per hour for the entire trip?
06/03/2020 (2019: AMC 8, Problem 15)
Q: On a beach 50 people are wearing sunglasses and 35
people are wearing caps. Some people are wearing both sunglasses and
caps. If one of the people wearing a cap is selected at random, the
probability that this person is is also wearing sunglasses is 2/5. If instead, someone wearing sunglasses is selected at random, what is the probability that this person is also wearing a cap?
Subscribe to:
Posts (Atom)