Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  If three coins are tossed simultaneously, the... Start Learning for Free
If three coins are tossed simultaneously, the probability of getting at least one head is  
  • a)
    1/8    
  • b)
    3/8    
  • c)
    1/2    
  • d)
    7/8 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If three coins are tossed simultaneously, the probability of getting a...
Here the sample space S =23= 8.
No. of ways to get all tails =1. 
∴ probability to get all tails = 1/8
∴ Probability to get at least one head is = 1-1/8= 7/8
View all questions of this test
Most Upvoted Answer
If three coins are tossed simultaneously, the probability of getting a...
Understanding the Problem
When tossing three coins, we want to find the probability of getting at least one head.
Sample Space
The sample space (all possible outcomes) when tossing three coins is:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- TTT
This gives us a total of 2^3 = 8 outcomes.
Calculating Desired Outcomes
To find the probability of getting at least one head, it's often easier to calculate the probability of the complementary event — getting no heads (i.e., all tails).
- The only outcome for no heads is: TTT
Thus, there is 1 outcome where we get no heads.
Probability of No Heads
The probability of getting no heads (all tails) is:
- P(no heads) = Number of favorable outcomes for no heads / Total outcomes = 1/8
Calculating Probability of At Least One Head
Now, we can find the probability of getting at least one head:
- P(at least one head) = 1 - P(no heads) = 1 - 1/8 = 7/8
Final Answer
Thus, the probability of getting at least one head when tossing three coins is:
- 7/8
Therefore, the correct answer is option 'D'.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Question Description
If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer?.
Solutions for If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If three coins are tossed simultaneously, the probability of getting at least one head is a)1/8 b)3/8 c)1/2 d)7/8Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev