George rolls a random die and flips a random coin. What is the probability that George both rolls a prime number and flips tails?
John has a fair two sided coin and Jennifer has a fair six-sided die. John flips the coin and Jennifer rolls the die. What is the probability that Jennifer rolls a perfect square and John flips a heads?
Starting January 2, 2017, Jeanie saves one dollar on Monday, three dollars on Tuesday, five dollars on Wednesday, and so forth until Sunday, when she saves eleven dollars on Sunday. Then she starts over on Monday and does it again. If she continues this pattern, how much money will she have after saving her money … Continue reading Math Problem of the Week #15
Three kids are standing in a row. Each of them are asked to say their favorite planet in the solar system. Since there are 8 planets, and each kid must choose one planet, and assuming it is chosen randomly, what is the probability that they all choose the same planet?
15 friends meet together for a party. Each friend shakes the hand of each other friend, not counting his own. How many handshakes were there in all? BONUS QUESTION: In a similar situation, there are x friends meeting together for a party. Each friend shakes the hand of each other friend, same as above. … Continue reading Math Problem of the Week #10
Paul arranges 4 cubes with the colors green, yellow, blue, and red in a row in facing him. What is the probability that the red cube and the blue cube are on opposite ends of the row?
With different words, this is a problem I encountered in real life. Three kids are sitting in a row. Each of them guesses a number 1-3. What is the chance that two or more of them pick the same number? Answer as a percent rounded to the nearest whole percent. (example: 45.6% rounded to the … Continue reading Math Problem of the week #4
Edward, Theo, and Gloria are in the gym shooting hoops. Every hoop they shot was made by only one person. In the total amount of time they were there together, Edward shot as many hoops as Theo's and Gloria's hoops together. Gloria made 17 more hoops than Theo. If they made 80 hoops in all, … Continue reading Math problem of the week #2