Question

In a lottery game, the jackpot is won by selecting four different whole numbers from 1 through 38 and getting the same four numbers (in any order) that are later drawn. In the Pick 5 game, you win a straight bet by selecting five digits (with repetition allowed), each one from 0 to 9, and getting the same five digits in the exact order they are later drawn. The Pick 5 game retuns $50,000 for a winning $1 ticket. Complete parts (a) through (c) below. 

a. In a lottery game, the jackpot is won by selecting four different whole numbers from 1 through 38 and getting the same four numbers (in any order) that are later drawn. What is the probability of winning a jackpot in this game? 

P(winning a jackpot in this game)  = _______ 

Answer 1

a)

here number of ways to draw 4 numbers out of 38 in any order =³⁸C₄ =38!/(4!*(38-4)!)=73815

hence p(wining a jackpot)=1/73815

( please revert for other subparts if help is required in them)