Calculations
Probability and Odds
Patterns
100

The value of 1/2 + 1/3 + 1/4 + 1/5:

What is 77/60?

100

The probability (chance) of rolling two dice and getting the same number:

What is 1/6?

100

The next number that comes in this sequence: 3, 1.5, 0.75, 0.375, ___ (as a decimal):

What is 0.1875?

200

The fraction 924/5544 in simplest form:

What is 1/6?

200

The probability of flipping a coin 5 times and NOT flipping 5 heads:

What is 31/32?

200

2020 started on a Wednesday. Every Wednesday, Friday, and Sunday, Marcus goes to the gym. The number of times he went to the gym in 2020:

What is 157?

300

City A and City B are connected by two roads: a 60 mile long backroad with a speed limit of 30 MPH and a 100 mile long highway with a speed limit of 80 MPH. Driving at the speed limit, the amount of time it takes to drive from A to B on the backroad, then B to A on the highway:

What is 3 hours and 15 minutes?

300

There are 40 total places on a Monopoly Board. To move, the player rolls two dice and moves forward by the sum of the numbers rolled. Ignoring jail, the average number of turns it takes to move a full lap (rounded up):

What is 6?

300

The sum of 1+2+3+4+...+998+999+1000:

What is 500500?

400

The last two digits of 26^26:

What is 76?

400

There are 4 boys and 4 girls in a class that need to sit in a row. The number of ways to arrange them in a row so that they are in a boy-girl-boy-girl pattern:

What is 1152?

400

The mean (average) of the mean, median and mode of -1, 3, 5, 3, -2, 6, 4, 4, 12, 3

What is 3.4?

500

City A and City B are connected by two roads: a 60 mile long backroad with a speed limit of 30 MPH and a 100 mile long highway with a speed limit of 80 MPH. The difference in time that it takes to drive round trip on the backroad and on the highway:

What is 1 hour and 30 minutes?

500

In the card game Blackjack, the goal is to add up your cards and have the biggest total. However, if your total is over 21, you automatically lose. Right now, my total is 19. Aces count as 1 and J, Q, and K count as 10. If I "hit" again (which means to ask for another card) and draw a card from a fresh 52 card deck, the probability that I do not "bust" (go over 21):

What is 2/13?

500

The Collatz Conjecture is a famous unsolved math problems involving a pattern. Taking any whole number, if it is even, divide it by two, and if it is odd, triple it and then add one. To make a sequence, take any whole starting number and repeatedly apply the pattern. The largest number in the sequence starting with 19:

What is 88?

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