User contributions
- 17:46, 12 June 2022 (diff | hist) . . (+280) . . N Suppose that we roll two fair 6-sided dice. What is the probability that the two numbers rolled sum to 4? (Created page with "There are 3 ways to roll a sum of 4: 3 on the first die and 1 on the second die, 2 on the first die and 2 on the second die, and 1 on the first die and 3 on the second die. Th...") (current)
- 17:43, 12 June 2022 (diff | hist) . . (+460) . . N Suppose we flip four coins simultaneously: a penny, a nickel, a dime, and a quarter. What is the probability that the penny and dime both come up the same? (Created page with "There are <math>2^4=16</math> possible outcomes, since each of the 4 coins can land 2 different ways (heads or tails). There are 2 possibilities for the penny and the dime: ei...")
- 17:38, 12 June 2022 (diff | hist) . . (+163) . . N Two fair 6-sided dice are rolled. What is the probability the sum rolled is 9? (Created page with "There are 4 different ways to roll a 9 (3+6, 4+5, 5+4, 6+3), which makes the probability of rolling a 9 equal to <math>\dfrac{4}{36} = \boxed{\dfrac{1}{9}}</math>.")
- 17:33, 12 June 2022 (diff | hist) . . (+381) . . N Steve has one quarter, two nickels and three pennies. Assuming no items are free, for how many different-priced items could Steve individually pay for with exact change? (Created page with "Steve can use no quarters or one quarter, for two possibilities. Steve can use 0, 1, or 2 nickels, for three possibilities. And Steve can use 0, 1, 2, or 3 pennies, for four...")
- 17:27, 12 June 2022 (diff | hist) . . (+939) . . N The perfect squares from $1$ through $2500,$ inclusive, are printed in a sequence of digits $1491625\ldots2500.$ How many digits are in the sequence? (Created page with "We consider it by four cases: <math>\bullet</math> Case 1: There are <math>3</math> perfect squares that only have <math>1</math> digit, <math>1^{2},</math> <math>2^{2},</mat...")