claim: 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 —
evidence: 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}}} .
category: Probability