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 { 	frac { 1 }{ 2 } }	imes { 	frac { 1 }{ 2 } }={ 	frac { 1 }{ 4 } } } .