2. A coin is tossed 3 times. Find the probability of getting (a) Exactly two heads (b) At least two tails
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
The Deep Dive
When a coin is tossed 3 times, there are a total of 2^3 = 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. For exactly two heads, the successful outcomes are HHT, HTH, and THH, which gives us 3 favorable outcomes. Therefore, the probability of getting exactly two heads is 3/8! For at least two tails, the successful outcomes are HTT, THT, TTH, and TTT. There are 4 favorable outcomes here, so the probability of getting at least two tails is 4/8, which simplifies to 1/2!