Question

a. What is the probability of winning assuming that order is unimportant?What is the probability of winning a lottery in which you must choose 5 numbers from thenumbers 1 through 177a Assuming that order is unimportantAssuming that the order matters.(Type an integer or a simplified fraction.)Help Me Solve ThisView an ExampleGet More HelpClear AllCheck A

Answer 1

Part a

Assuming that order is unimportant

we have a combination

17C5

`17C5=(17!)/(5!(17-5)!)=6,188`

Probability is

P=1/6,188

P=0.0001616

P=0.01616%

Part B

Assuming that the order matters

we have a permutation

17P5

`17P5=(17!)/((17-5)!)=742,560`

probability is

P=1/742,560

P=0.0000013467

P=0.0003467%