Three fair coins are tossed independently. T is the event that two or more…
2024
Three fair coins are tossed independently. T is the event that two or more tosses result in heads. S is the event that two or more tosses result in tails.
What is the probability of the event 𝑇 ∩ 𝑆 ?
Answer: A. 0 — Answer: 0 Reason: List all 8 equally likely outcomes for three fair coins: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. Event 'two or more heads' occurs for: HHH,…
- A.
0
- B.
0.5
- C.
0.25
- D.
1
Attempted by 49 students.
Show answer & explanation
Correct answer: A
Answer: 0
Reason:
List all 8 equally likely outcomes for three fair coins: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
Event 'two or more heads' occurs for: HHH, HHT, HTH, THH.
Event 'two or more tails' occurs for: TTT, HTT, THT, TTH.
There are no outcomes that appear in both lists, so the intersection is empty.
Alternatively: requiring at least two heads and at least two tails would require at least four tosses, which is impossible with three tosses.
Therefore the probability of the intersection is 0.
Explore the full course: Iocl Engineers Officer Grade A Paper 1