SOLUTION: Two fair coins were tossed and it is known that at least one was a head. Find the probability that they were both heads.

Algebra.Com
Question 1132005: Two fair coins were tossed and it is known that at least one was a head. Find the probability that they were both heads.

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
When two fair coins are tossed, the space of events consists of four elements


HH   (*)
HT   (*)
TH   (*)
TT


Of them, the sub-space consisting of three elements, marked (*) in the list, is the sub-space  "at least one is head".


In this sub-space of three elements, only one HH is "two heads", or, equivalently, "both heads".


Therefore, the conditional probability under the question is  .

Solved.



RELATED QUESTIONS

Two coins are tossed. what is the probability that the one coins shows heads if it is... (answered by math_tutor2020)
Find exact probabilities showing all required computation. Five fair coins are tossed.... (answered by reviewermath)
A box contains 3 coins: one coin with two sides-head & tail, one coin two headed and one... (answered by ewatrrr)
Two coins are tossed. Find the probability that both coins turn up heads given that at... (answered by Alan3354)
A box contains three coins, two of them fair and one two-headed. A coin is selected at... (answered by Edwin McCravy)
Three fair coins are tossed. What is the probability that at least two are heads?... (answered by Fombitz)
Three fair coins are tossed. What is the probability that at least one is a head? (Enter... (answered by Fombitz)
Two coins are tossed together. Find the probability that both are heads given the last... (answered by Alan3354)
A fair coin is tossed 4 times what is the probability that exactly one head appears and... (answered by Fombitz)