Join our free STEM summer bootcamps taught by experts. Space is limited.Register Here 🏕

Like

Report

Numerade Educator

Like

Report

Problem 19 Hard Difficulty

In a best-of-three series, the first team to win 2 games wins the series. Two ways to win a best-of-three series are to win the first 2 games or lose the first game and win the next two games. How many ways are there to win a best-of-three series? a best-of-five series? a best-of-seven series?

Answer

$3 ; 10 ; 35$

Discussion

You must be signed in to discuss.
Top Algebra Educators
Alayna H.

McMaster University

MG
Maria G.

Numerade Educator

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University

Video Transcript

All right, So if you're gonna win a best of three, it doesn't matter the order that you win them in as long as you win two of the three. So we're gonna have three games and we're gonna choose to, so that's three times to over two times one, which gives us a total of three possibilities. To win a best of five, you need to win three games. And so that's gonna be five times forward times 3/3 times, two times one, which gives us 60/6 or 10 possibilities. And if you wanna win a best of seven, you need four wins. So this is five times four times. That's not five times forward. This is seven times six times, five times 4/4 times, three times two times one, which gives us 840 over 24 or 35 possible choices. So to win a best of three, you have three choices. A best of 5 10 and invest of 7 35

University of Louisville
Top Algebra Educators
Alayna H.

McMaster University

MG
Maria G.

Numerade Educator

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University