Probability Mixed Review
- Write 35% as a probability in decimal and fraction form.
- A fair die is rolled. Find P(number at least 5).
- A coin gives 63 heads in 120 tosses. Find experimental P(heads).
- P(A)=0.37. Find P(not A).
- Two fair dice are rolled. Find P(sum 12).
- Events A and B are mutually exclusive with P(A)=0.25 and P(B)=0.4. Find P(A or B).
- Find P(two tails in two fair tosses).
- A bag has 5 red and 3 blue counters. Two are chosen without replacement. Find P(two red).
- P(success)=0.18. Find expected successes in 250 trials.
- Explain the difference between independent and mutually exclusive events.
✅ Check Your Work
Show answers and working
- 0.35=35/100=7/20.
- Outcomes 5 and 6: 2/6=1/3.
- 63/120=21/40=0.525.
- 1−0.37=0.63.
- Only (6,6): 1/36.
- 0.25+0.4=0.65.
- 1/2×1/2=1/4.
- 5/8×4/7=20/56=5/14.
- 0.18×250=45.
- Independent events do not affect one another’s probabilities; mutually exclusive events cannot occur together.
🧪 Math Lab: Rule Sorter
Which method best matches this question?
Revision Guidance and Readiness
- Attempt the questions without notes first.
- Use the answers or worked solutions to identify the exact step that needs attention.
- Return to the relevant lesson, then retry missed questions.
- You are ready to move on when you can explain your method and check your result independently.