Two baseball teams are tied for first place at the end of the season. according to tiebreaking rules, one of the teams will be designated as "team x" and the other as "team y." team x will then choose between two scenarios.

scenario 1: the tied teams will play two games in team x's ballpark. team x must win both games to be declared the champion. otherwise, team y is the champion.

scenario 2: the tied teams will play one game in team y's ballpark. the winner of this game will be declared the champion.
(refer to tiebreaking scenarios 1 and 2.)

let px and py be the respective probabilities of team x and team y winning in their own ballparks. if py = 0.7, which inequality describes the values of px that would make scenario 1 the more favorable choice for team x?

a. 0.35 < pₓ ≤ 1


b. 0.49< pₓ ≤ 1


c. √0.3< pₓ ≤ 1


d. √0.7 < pₓ ≤ 1