posted by PLEASE HELP ME OUT!! on .
How do you solve:
n is 2 given that it is even
The directions say "let n be a randomly selected integer from 1-20. Find the indicated probability"
1. A tennis player wins a math 55% of the time when she serves first and 47% of the time when her opponent serves first. The player who serves first is determined by a coin toss before the match. What is the probability that the player wins a given match.
2.A football team is losing by 14 points near the end of a game. The team scroes two touchdowns (worth 6 pts each) before the end of the game. After each touchdown, the coach must decide whether to go for 1 point with a kick(which is successful 99% of the time) or 2 points with a run or pass (which is successful 45% of the time).
a.If the team goes for 1 point after each touchdown, what is the probability that the coach's team wins? loses? ties?
b. If the team goes for 2 points after each touchdown,what is the probability that the coach's team wins? loses? ties?
c. Can you develop a strategy so that the coach's team has a probability of winning the game that is greater than the probability of losing? If so, explain your strategy and calculate the probabilities of winning and losing using your strategy.
1. Since the coin toss can go either way with 50% probability, before tossing coin, the chance of the player mentioned winning is 51%
2. The question overlooks the new rules that require overtime to be played in the event of a tie at the end of four periods.
a. wins: 0%
loses: 1 - 0.99^2 = 0.0199
ties: 0.99^2 = 0.9801
b. wins: 0.45^2 = 0.2025
loses: (0.55)^2 = 0.3025
ties: 2*0.45*0.55 = 0.4950
c. Try 2 point conversion first, then try it again only if the first attempt fails.
2 and then kick for 1 (a win): 0.4455
2 and then kick for 0 (a tie): 0.0045
0 and then 2 (a tie): 0.2475
0 and then run/pass for 0 (a loss) 0.3025