Entertainment
Gambler's Fallacy and Breaking Even
Probability and Expected Value
Probability (A and B)
Probability (A or B)
100

This movie contains a monster, who later becomes an icon after rescuing a princess from a castle surrounded by hot, boiling lava? 

Shrek

100

What is the notion of Gambler's Fallacy?

It explains that if an event happens a certain amount of times in a row, the chances are that the event won't happen will be more than 50%. 

100

Suppose you have 14 onions, 13 cucumbers, and 6 strawberries. What are the odds of not selecting a fruit? 

9:2

100

The probability of rolling an even number AND a number greater than 3. 

3/6 * 2/6 = 6/36 = 1/6

100

What is the probability of rolling an odd number or a number ranging from 2 to 5? 

(3/6 + 4/6) - 2/6 = 5/6

200

This sports team started off in Philadelphia in 1946, but moved to San Francisco in 1962 after Franklin Mieuli purchased the majority shares of the team? 

Golden State Warriors
200

If the Eagles win 4 games in a row, are they expected to win the next one?

No because the Eagles have won so many times that they are more than likely going to lose the next game. 

200

What does against the spread mean?

It describes a bet against the betting line in favor of the "underdog" team. The bettor is also using the points to do so. 

200

There are 10 white circles, 3 green squares, 3 red squares, 4 orange triangles, and 2 purple circles. What is the probability of getting a square AND it's red?

6/22 * 3/22 = 9/484

200

What is the probability of drawing a Jack or a King from a deck of cards? 

13/52 + 13/52 = 26/52 = 1/2

300

This studio has won an Oscar for Best Animated Feature. 

Pixar Animation Studios

300

What is the Break-Even formula?

Winnings(P) - Losses(1-P0 = 0

300

What is the formula for expected value?

EV = (a*P(a)) + (b*P(b)) +(c*P(c)) ...

300

There are 10 white circles, 3 green squares, 3 red squares, 4 orange triangles, and 2 purple circles. What is the probability of getting a circle AND it's purple?

12/22 * 2/22 = 24/484 = 6/121

300

There are 8 purple stars, 3 yellow circles, 3 green squares, 4 black triangles, 2 green triangles, and 2 blue circles. What is the probability of picking a triangle or green?

(6/22 + 5/22) - 2/22 = 9/22

400

This team began in 1917 as the Detroit Gems, but moved to Minneapolis and then Los Angeles in the late 1950s. Since then, they have won 16 championships and 23 division titles. 

Los Angeles Lakers

400

What is the expected profit or loss of winning 85%?

10(0.85) - 11 +11(0.85) = $6.85

400

When rolling 2 dies, what must be the probabilities and the winning costs if the cost to play is $6?

(Hint: use the expected value equation)

There are multiple answers for this question. As long as your probabilities and your winning costs, when plugged into the expected value equation, equals $6, your answers are correct. 

Ex: 

2-4, 6: $0

5, 8, 10: $2

7, 9, 11, 12: $9.23

0(11/36) + 2(12/36) + 9.23(13/36) = 4

400

There are 12 white ovals, 3 green rectangles, 3 red squares, 4 yellow triangles, 2 green triangles, and 2 purple circles. What is the probability of getting a triangle AND it's yellow?

6/26 * 4/26 = 10/676 = 5/338

400

What is the probability of drawing an Ace or a Heart card? 

(4/52 + 13/52) - 1/52 = 16/52 = 8/26 = 4/13

500

This movie stars Ian McDiarmid as the main antagonist and Daisy Ridley as one of the main protagonists, directed by J.J. Abrams with the music scored by John Williams.

Star Wars: The Rise of Skywalker

500

What is the money line? 

The betting line in which it lays out the amount a player must wager in order to win $100. No points are involved.

500

What would the mean profit be if Bettor A and Bettor B both bet $115 and the odds were 115:100? 

15/230 = 6.5%

500

There are 12 white ovals, 3 green rectangles, 3 red squares, 4 yellow triangles, 2 green triangles, 5 blue rectangles, and 2 purple circles. What is the probability of getting a rectangle AND it's blue?

8/31 * 5/31 = 40/961

500

What is the probability of rolling a number less than 5 or an even number? 

(4/6 + 3/6) - 2/6 = 5/6