In a game, a participant is given three attempts to hit a ball. on each try, she either scores a hit, h, or a miss, m. the game requires that the player must alternate which hand she uses in successive attempts. that is, if she makes her first attempt with her right hand, she must use her left hand for the second attempt and her right hand for the third. her chance of scoring a hit with her right hand is 0.9 and with her left hand is 0.4. assume that the results of successive attempts are independent and that she wins the game if she scores at least two hits in a row. if she makes her first attempt with her right hand, what is the probability that she wins the game?

chancing for wining is 54%.

Step-by-step explanation:

possible outcomes can be given as

HHH *

HHM *

HMH

MHH *

HMM

MHM

MMH

MMM

Out of those, only 3 will have the participant win the game:

HHH, HHM, MHH.

Probability (HHH) + Probability (HHM) + Probability (MHH)

since attempts are independant.

Probability (HHH) = 0.9 *0.4 *0.9 = 0.324

Probability (HHM) = 0.9 *0.4 *0.3 = 0.108

Probability (MHH) = 0.3 *0.4 *0.9 = 0.108

Add them up and get  = (0.324+ 0.108+0.108) = 0.54

hence, chancing for wining is 54%.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.