A = (1 - 1/95) . ( 1 - 1/96) . (1 - 1/97) . (1 - 1/98) . ( 1 - 1/99)
A = 94/95 . 95/96 . 96/97 . 97/98 . 98/99
A = \(\dfrac{94.95.96.97.98}{95.96.97.98.99}\)
A = 94/99
Vậy A = 94/99
- HokTot -
\(A=\left(1-\dfrac{1}{95}\right)\times\left(1-\dfrac{1}{96}\right)\times\left(1-\dfrac{1}{97}\right)\times\left(1-\dfrac{1}{98}\right)\times\left(1-\dfrac{1}{99}\right)\)
\(A=\dfrac{94}{95}\times\dfrac{95}{96}\times\dfrac{96}{97}\times\dfrac{97}{98}\times\dfrac{98}{99}\)
\(A=\dfrac{94\times95\times96\times97\times98}{95\times96\times97\times98\times99}\)
\(A=\dfrac{94}{99}\) (gạch bỏ những số giống nhau)
bỏ 1 ra ngoài lấy 94/95.95/96.96/97.97/98.98.99=94/99 vậy a là 94/99