Discussion
An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials:
(1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __.
Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?
Answer: B
The most likely statement is One H and one T will occur.
Tosses of an unbiased coin are independent, so the earlier trials and the first four tosses of the fourth trial tell us nothing about the last two. Those two tosses have four equally likely outcomes: HH, HT, TH and TT, each with probability 1/4.
'One H and one T' is satisfied by both HT and TH, so its probability is 1/2. 'Two T' (TT only) and 'Two H' (HH only) each have 1/4. 'One H followed by one T' fixes the order, so it covers HT alone and also has 1/4.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development