Probability

Build fluency with probability notation, expected value, and event reasoning.

Focus points

✓Use event notation clearly.

✓Compare independent and dependent events.

✓Interpret expected value in simple settings.

Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Mark each one done as you go — finish them all to claim your chips.

6 revision prompts

Question 1

P (A) = 0.4

and

P (B) = 0.3

for independent events, find

P (A \cap B)

Question 2

A fair die is rolled once. Find the probability of getting a number greater than 4.

Question 3

A bag contains 5 red counters and 3 blue counters. One counter is chosen at random. Find the probability it is blue.

Question 4

A game pays $8 with probability 0.2 and loses $2 otherwise. Find the expected value.

Question 5

P (A) = 0.7

, find

P (A^{c})

Question 6

Two coins are tossed. Find the probability of getting exactly one head.