Question

Winning the jackpot in a particular lottery requires that you select the correct three numbers between 1 and 53 ​and, in a separate​ drawing, you must also select the correct single number between 1 and 45. Find the probability of winning the jackpot.

Answer 1

`|\Omega|={_(53)C_3}\cdot 45=(53!)/(3!50!)\cdot45=(51\cdot52\cdot53)/(2\cdot3)\cdot45=1054170\\|A|=1\\\\P(A)=(1)/(1054170)\approx0.00000095\%`