Consider the experiment of tossing two unbiased coins in succession. What is the probability of obtaining two heads, given that at least one of the coins comes up heads?
Tap an option to check your answer.
DSE 2006 Question 12: Probability and Bayes' theorem
Answer and worked solution
Checking your account…
Plain-text version
Consider the experiment of tossing two unbiased coins in succession. What is the probability of obtaining two heads, given that at least one of the coins comes up heads? (A) 1/2 (B) 1/4 (C) 1/3 (D) 2/3
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
What this question tests
This question is on Conditional probability and the multiplication rule, part of Probability and Bayes' theorem in Statistics.
Probabilities that change when you know something has happened.
TestStop has 28 past-paper questions on this subtopic; the nearest in year are below.
Similar questions from other papers
- Conditional Probability can be calculated by
- In a year of 366 days, what is the chance that three persons have different birthdays?
- If we twice flip a balanced coin, what is the probability of getting at least one head?
- Two cards are drawn from a full pack of 52 cards at random. The probability of getting a heart and a diamond is (*rounded off to two decimal places*).
- In a population of men in a city, 3% are observed to suffer from cancer, 15% are found to be smokers, while 10% are noticed to be either smokers or cancer patients. If…
Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.