Compare likelihoods, identify dependent events and interpret variation in repeated experiments.
Free examples and worked answers. No account needed.
Practise the method.
Compare likelihoods, identify dependent events and interpret variation in repeated experiments.
Compare likelihoods, identify dependent events and interpret variation in repeated experiments.
Example 1
A fair coin has landed heads 7 times in a row. Which statement about the next toss is correct?
Show worked answer
Answer: Heads and tails are still equally likely
Separate tosses of a fair coin are independent.
Earlier results do not change the two equally likely outcomes of the next toss.
Example 2
Two groups each toss a fair coin 30 times. Group A records 13 heads; group B records 17 heads. How many more heads did the group with the larger count record?
Show worked answer
Answer: 4
Compare the observed counts, not a promised outcome.
The difference is 17−13=4. Different trial results can occur by chance.
Example 3
A coin is tossed 30 times. The record shows 12 heads and the remaining results are tails. How many tails occurred?
Coin experiment record
Outcome
Count
Heads
12
Tails
?
Total
30
Show worked answer
Answer: 18
Every toss has one recorded result, heads or tails.
30−12=18 tails.
Put it into practice.
Sign in to choose a set, get feedback and keep your progress.