your odds of correctly guessing the outcome of a flipped coin are 1 in 2, but your odds of guessing correctly twice in a row are only 1 in 4 —
your odds of correctly guessing the outcome of a flipped coin are 1 in 2, but your odds of guessing correctly twice in a row are only 1 in 4 —
probability:102
if two events, a and b are independent then the joint probability is p ( a  and  b ) = p ( a ∩ b ) = p ( a ) p ( b ) , {\displaystyle p(a{\mbox{ and }}b)=p(a\cap b)=p(a)p(b),\,} for example, if two coins are flipped the chance of both being heads is 1 2 × 1 2 = 1 4 {\displaystyle {\tfrac {1}{2}}\times {\tfrac {1}{2}}={\tfrac {1}{4}}} .