Probability & Statistics
Sample spaces, equally likely outcomes, conditional and independent events, and reading data with averages and charts.
Problems
- A Valid Probability Function
- P(A ∪ B)
- Finding P(B − A)
- Who Wins the Contest?
- Three Disjoint Events
- An Odd Value in the Image
- Three Exclusive Outcomes
- Neither A nor B
- A Reflexive Relation
- At Least 2 on a Die
- Odd or Prime
- Even or at Least 4
- A Sum of 7
- A Sum Above 8
- A Sum of at Most 3
- An Odd Product
- A Difference of 3
- An Even Sum
- Three Coins Alike
- At Least Two Tails
- One Girl, One Boy
- Skipping City B
- An 18-Year-Old
- Even or Greater Than 4
- A Girl or Wearing Glasses
- Two Four-Sided Dice
- Both at Least 5
- Two More Than Before
- A Sum of 10 or 11
- An Even Product of Three Dice
- At Least One Tail
- Three Tails in Five
- Three Different Numbers
- All the Same in Twenty
- Red or White
- A Subset with 2 and 3
- A Square Ending in 4
- The Same Number Three Times
- A Triangle Through A
- Neither Subject
- A Pair of Opposites
- Divisible by 15 or 25
- Landing in the Ring
- Seeing the Blue Face
- Two Different Subjects
- Also a Multiple of 6
- Two Reds
- The Same Colour
- At Least One Yellow
- Two Working Bulbs
- Three Reds
- One Faulty Shirt
- At Least One White
- Three Different Colours
- At Most Two White
- Two Prime Numbers
- Finding the Right Key
- Three People Between Them
- An Odd Number on the Card
- Divisible by 4 and 6 Too
- Chair and Deputy Side by Side
- Starts with 2, Ends with 1
- At Least Two Girls
- Two Couples Chosen
- An Even Two-Digit Card
- An Even Three-Digit Card
- A Triangle Using A and L
- In Different Teams
- Passing Through B
- A Positive Product
- İsmail and Merve Both Chosen
- Glasses or Boys
- A Base on d₂
- A Big Square
- A Vertex at the Crossing
- By 3 but Not 5
- A Wearable Pair
- At Least Three White
- A Quadrilateral Using A
- Through K, L or M
- Two Even, One Odd
- Late to the Theatre
- Only Samarkand
- How Many Marbles?
- Twice as Many Reds
- A Vertex at A
- Twice as Many Blues
- Red Once, White Once
- Odd and Heads
- Tails or a Prime
- Exactly One White
- White, Red, White
- Odd, Then Prime?
- Two Tails and an Even Number
- Guessing Three Answers
- A 3 in a Sum of 5
- Tails on the Second Toss
- At Least One Passes
- A Biased Coin
- Given at Least One 3
- At Most How Likely?
- Finding P(B)
- Matching Coins or Matching Dice
- Passed Maths, Failed Literature
- Three Tails, Given One
- Comparing Two Probabilities
- Swapping Between Bags
- Down the Peg Board
- Will the Lamp Light?
- A Trick Coin in the Bag
- Small Product, Even Sum
- Exactly Two Heads
- Hit by Exactly One
- A New Colour Each Roll
- Spin to Win a TV
- At Most One Hit
- Same Colour — Both Blue?
- Different Colours from Two Bags
- A Different Colour
- Which Unit Made It?
- First to Heads Wins
- The Second White on Draw Four
- Evens Go Back
- Which Bag Was It?
- How Big Was Bag B?
- Keep the Small Ones
- The Right Box Plot
- Bills Above the Median
- Passing Both Exams
- Planning the Land
- The Angle for Option E
- Weekend Readers
- Six Exam Scores
- Six Months of Gas Bills
- Wednesday's Sweaters
- Women at Two Sites
- Which Bar Is x?
- The Most Common Score
- The Median Score
- Baskets Scored
- Survey Ratings
- When Some Leave
- Three New Members
- A Mistake in Two Salaries
- The Most Successful Subject
- The Weakest Test
- All Three Equal
- Three Months of Sales
- Deniz's Mock Exams
- Watches Sold in Four Days
- Always True
- Erol's Darts
- A Larger Spread
- The Most Uneven Student
- The Most Spread-Out Class
- The Best Topic
- A z-Score
- Finding the Mean
- Finding the Standard Deviation
- Six Points Below
- Below Zero
- What z-Scores Tell Us
- Elif's z-Score
- Three z-Scores
- Same Score, Different Classes
- From z to T
- A T-Score of 60
- T-Score of a 70
- T Is Twenty Times z
- Which Ages Fit?
- Girls' and Boys' Scores
- A Sleep Survey
- Salaries and Rents
- Walking and Running
- Ages at Work
- Brand B Sales
- Can and Aslı's Sales
- A Share Price Over a Week
- Matching Unit Prices
- The Most Popular Colour
- A Quarter Civil Servants
- Finding x from Two Charts
- Mode 4, Median 4.5
- Mean of Grouped Scores
- Two Car Dealers
- The Smallest Median
- A Farmer's Wheat
- Successful and Spread Out
- Three Times the Mean
- Fifty Points in Five Branches
- Erdem and Aslı
- Sedef's T-Score
- Deniz's T-Scores
- Finding the Median Salary
- Two Swimming Teams
- Flour Packets in a Box Plot
- The Largest Possible Mean
- A Grade of 4