Final Answer:
Section A:
1. Tossing a head with a coin — Tossing a tails with a coin → Mutually Exclusive
2. Throwing a six on a die — Throwing an even number on a die → Non-Mutually Exclusive
3. Drawing a Spade — Drawing an Ace → Non-Mutually Exclusive
4. Drawing a red card — Drawing a Club → Mutually Exclusive
5. Getting at least one head (2 coins) — Getting at least one tails (2 coins) → Non-Mutually Exclusive
6. Getting two prime numbers (2 dice) — Getting total score of four (2 dice) → Non-Mutually Exclusive
7. Choosing two girls out of 3 girls & 2 boys — Choosing one girl and one boy out of same group → Mutually Exclusive
Section B:
- Event C & A → Non-Mutually Exclusive
- Event D & C → Non-Mutually Exclusive
- Event F & B → Mutually Exclusive
- Event E & F → Non-Mutually Exclusive
- Event F & D → Non-Mutually Exclusive
- Event A & ? → Mutually Exclusive (✓), Non-Mutually Exclusive (✓) → ? = Event B
- Event C & ? → Mutually Exclusive (✓), Non-Mutually Exclusive (✗) → ? = Event F
Extension:
Probability of getting 2 or 3 = 4/8 = 1/2
Reason: Events “getting a 2” and “getting a 3” are mutually exclusive, but “getting a 2” and “getting red” overlap (two red 2s), so you can’t just add 3/8 + 3/8 — that double-counts the red 2s.
Parent Tip: Review the logic above to help your child master the concept of probability mutually exclusive events worksheet answers.
