Three fair coins are tossed simultaneously. What is the probability of getting at least one head ?
7/8
Tossing three fair coins gives \(2^3 = 8\) equally likely outcomes.
The only outcome with no heads at all is all tails (TTT), which has probability \(\frac{1}{8}\).
So the probability of at least one head is \(1 - \frac{1}{8} = \frac{7}{8}\).
The probability of getting at least one head is 7/8.
Important Questions from Probability
Three dice are thrown. What is the probability of getting a sum which is a perfect square?
Two distinct natural numbers from 1 to 9 are picked at random. What is the probability that their product has 1 in its unit place?
Two dice are thrown. What is the probability that difference of numbers on them is 2 or 3 ?
Suppose that there is a chance for a newly constructed building to collapse, whether the design is faulty or not. The chance that the design is faulty is 10%. The chance that the building collapses is 95% if the design is faulty, otherwise it is 45%. If it is seen that the building has collapsed, then what is the probability that it is due to faulty design?
What is the probability that all three boys sit together?
