Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Standards: S-CP.A.1, S-CP.A.2, S-CP.A.3, S-CP.A.4, S-CP.A.5, S-CP.B.6, S-CP.B.7, S-CP.B.8, S-CP.B.9, S-MD.B.6, S-MD.B.7 · Level: Grade 10 Geometry
Question 1 Two Dice (2 points)
Two fair dice are rolled. Find P(sum is 10 or more) (1 point) and P(sum is less than 10) (1 point).
Question 2 Venn Counts (3 points)
In a group of 60 campers, 28 like hiking, 22 like kayaking and 9 like both. Find (a) P(hiking or kayaking), (b) P(neither), (c) P(kayaking | hiking).
Question 3 Two-Way Table (3 points)
| Teens | Adults | Total | |
|---|---|---|---|
| Prefers summer | 58 | 47 | 105 |
| Prefers winter | 22 | 73 | 95 |
| Total | 80 | 120 | 200 |
Find (a) P(prefers winter), (b) P(prefers winter | adult), (c) P(teen | prefers summer). Round to the nearest thousandth.
Question 4 Independent or Not? (2 points)
A school records that half the students ride a bus (A), 40% join a club (B), and 70% do at least one of the two. Calculate the share doing both, then decide if riding the bus and joining a club are independent.
Question 5 Orders and Groups (2 points)
Seven acts reach the finals of a talent show. (a) Count the ways the judges can rank the top three places. (1 point) (b) Count the ways to pick three acts for a showcase with no ranking. (1 point)
Question 6 Marbles Without Replacement (3 points)
A jar holds 6 green marbles and 9 yellow marbles. Two are drawn without replacement. Find (a) P(both green) and (b) P(the two marbles are different colors).
Question 7 A Positive Test (3 points)
A condition affects 4% of people. A test is positive for 90% of people who have it and for 10% of people who do not. A person tests positive. Find the probability that the person has the condition.
Question 8 Fair Spinner Game (2 points)
A spinner has four equal sectors numbered 1 to 4. Anna wins when it lands on 1 or 2 and Ben wins when it lands on 3 or 4. Is the game fair? Then Ben suggests that he wins on 3 only and Anna on 1, 2 and 4. Is that fair?
