Suppose the Lakers are to play the Heat in a best of seven s

Suppose the Lakers are to play the Heat in a best of seven series. Assuming the teams are evenly matched, what is

the probability that the Lakers will win the series in (a) exactly six games? (b) six games or less?

Solution

given n p
7
0.5

value of r
6
Given n=7 p=0.5 q=0.5
P(6)=7c6 * 0.5^6 * 0.5^1
P(6) = 0.0546875

b)

Given n=7 p=0.5 q=0.5
P(0)=7c0 * 0.5^0 * 0.5^7
P(0) = 0.0078125
P(1)=7c1 * 0.5^1 * 0.5^6
P(1) = 0.0546875
P(2)=7c2 * 0.5^2 * 0.5^5
P(2) = 0.1640625
P(3)=7c3 * 0.5^3 * 0.5^4
P(3) = 0.2734375
P(4)=7c4 * 0.5^4 * 0.5^3
P(4) = 0.2734375
P(5)=7c5 * 0.5^5 * 0.5^2
P(5) = 0.1640625
P(6)=7c6 * 0.5^6 * 0.5^1
P(6) = 0.0546875
P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6) = 0.9922