Atable tennis match is played between jack and rose. the winner of the match is the one who first wins 4 games in total, and in any game the winner is the one who first scores 11 points. note that in an individual game, if the score is 10 to 10, the game goes into extra play (called deuce) until one player has gained a lead of 2 points. let p be the probability that rose wins a point in any single round of serve, and assume that different rounds in all games are independent. (i) how many games can there be at most before a match winner appears? (ii) in a given individual game, what is the probability that the game runs into the deuce stage? (iii) suppose that p=0.6. compute the probability that rose wins the match? (iv) as a function of p, let f(p) be the probability that the match ends with a maximal number of games. for what value(s) of p is f(p) largest? justify your answer and compute the resulting probability.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

answer: the four apples you took away.

step-by-step explanation:

16.80 times .20= 3.36

step-by-step explanation: