Called defenders (D), midfielders (M), and attackers (A). One player is chosen at random to lead the team in exercises before each game. The letters MDD mean that a midfielder was chosen at the first game and a defender was chosen at the next two
games. The list of all possible outcomes is shown, where each outcome has equal probability of occurring.
DAA
AAA
AAM
AMA
AMM
AMD
ADA
ADM
MAA
MAM
MMA
MMM
MDA
MDM
MDD
DAM
DMA
DMM
DMD
DDA
DDM
DDD
AAD
ADD
MAD
MMD
DAD
What is the probability that a defender is chosen at least once, given that a midfielder is chosen at the first game?
O A Z
Oce
OD.

step-by-step explanation:

its adding 5.5 each time

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true