Question

Winning the jackpot in a particular lottery requires that you select the correct two numbers between 1 and 38 and, in a separate drawing, you must also select the correct single number between 1 and 52. Find the probability of winning the jackpot. The probability of winning the jackpot is (Type an integer or simplified fraction.)

Answer 1

1) P(winning the jackpot) =(1/³⁸C₂)*(!/52) =1/36556

2) P(At least 2 have same) =1-P(none have same) =1-³⁶⁵P₃₂/365³² =0.7533

3)

a)

probability =

P(X>=1)=

1-P(X<=0)=

1-∑x=0x-1     (nCx)px(1−p)(n-x)    =

0.984375

b)

probability =

P(X>=3)=

1-P(X<=2)=

1-∑x=0x-1     (nCx)px(1−p)(n-x)    =

0.656250