Probable Cause
This is the probability of getting exactly 1 head when flipping a fair coin 3 times.
What is 3/8?
This is the answer to the following problem:
Cities A and B are 45 miles apart. Alicia lives in A and Beth lives in B. Alicia bikes towards B at 18 miles per hour. Leaving at the same time, Beth bikes toward A at 12 miles per hour. How many miles from City A will they be when they meet?
What is 27?
This is the smallest even prime.
What is 2?
This is the value of 1+2+3+...+100.
What is 5050?
This is the formula for the area of a rectangle.
What is base*height?
This is the probability of drawing two consecutive aces in a deck of 52 cards.
What is 1/221?
This is the answer to the following problem:
How many positive perfect squares less than 2023 are divisible by 5?
What is 8?
This is the number of prime factors of 1.
What is 0?
This is the value of 12 +22+32+...+102.
What is 385?
This is the formula for the area of a trapezoid.
What is (1/2)(b1 + b2)(h)?
This is the probability that a random permutation of the letters in the word "level" is a palidrome.
What is 1/15?
This is the answer to the following problem:
A digital display shows the current date as an 8-digit integer consisting of a 4-digit year, followed by a 2-digit month, followed by a 2-digit date within the month. For example, Christmas Day this year is displayed as 20251225 For how many dates in 2023 does each digit appear an even number of times in the 8-digital display for that date?
What is 9?
This is the name of primes of the form 2n-1.
What are Mersenne primes?
This is the value of 1 - 1/3! + 1/5! - 1/7! + 1/9! - 1/11! +... .
What is sin(1)?
This is the perimeter of a square with area 841.
What is 116?
This is the probability that Mrs. B gives a curve on the 1D Kinematics test.
What is 0?
This is the answer to the following problem:
Maureen is keeping track of the mean of her quiz scores this semester. If Maureen scores an 11 on the next quiz, her mean will increase by 1. If she scores an 11 on each of the next three quizzes, her mean will increase by 2. What is the mean of her quiz scores currently?
What is 7?
This is the expression that approximates the number of primes less than or equal to x.
What is x/ln(x)?
This is the value of 1 + 1/2 + 1/3 + 1/4 + 1/5 + ... .
What is divergence?
This is the area of the quadrilateral with vertices at (3,4), (-4, 3), (-3, -4), (4, -3).
What is 5sqrt(2)?
This is the probability that it rains today given the following information:
- Yesterday, there was a 30% chance of rain.
- If it rained yesterday, there is a 80% chance of rain today. Else, there is a 20% chance of rain today.
What is 19/50 (38%)?
This is the answer to the following problem:
A rhombic dodecahedron is a solid with 12 congruent rhombus faces. At every vertex, 3 or 4 edges meet, depending on the vertex. How many vertices have exactly 3 edges meet?
What is 8?
This is the type of composite number that fails the Fermat Primality Test.
What are Carmichael numbers?
This is the value of 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ... .
What is ln(2)?
This is the formula (expression) for the area of a quadrilateral with side lengths a, b, c, and d and semi-perimeter s?
What is sqrt((s-a)(s-b)(s-c)(s-d))?