Probability (Easy)

AMC 10 Q1–8 depth — contest entry, not school drills.

Probability: core idea

Equally likely.

A fair die is rolled. What is $P(\text{even})$ ?

Hint: Count favorable outcomes over all equally likely outcomes. Answer: 1/2.

1. A fair coin is flipped once. What is $P(\text{heads})$ ?
2. A card numbered $1$ through $5$ is chosen. What is $P(\text{number}>3)$ ?
3. A bag has $3$ red and $2$ blue marbles. What is $P(\text{red})$ ?
4. A fair die is rolled. What is $P(\text{rolling }6)$ ?
5. Two fair coins are flipped. What is $P(\text{two heads})$ ?
6. A number is chosen from $1$ through $10$ . What is $P(\text{multiple of }3)$ ?
7. A spinner has $4$ equal sections. What is $P(\text{not landing on one given section})$ ?
8. A card numbered $1$ through $8$ is chosen. What is $P(\text{odd})$ ?
9. A fair die is rolled. What is $P(\text{number}<3)$ ?