Question

Two tennis players A and B engage in two tennis matches. i)The chance that Player A...

Two tennis players A and B engage in two tennis matches.

i)The chance that Player A wins match 1 is 0.5

ii)The chance that Player A wins match 2 is 0.5

iii)If Player A wins match 1 the chance that Player A wins match 2 is 0.6

(a)What is the probability that Player A wins at least one match?

(b)Given Player A wins at least one match, what is the probability that Player A wins the first match?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two tennis professionals, A and B, are scheduled to play a match; the winner is the...
Two tennis professionals, A and B, are scheduled to play a match; the winner is the first player to win three sets in a total that cannot exceed five sets. The event that A wins any one set is P(A) = 0.6, and is independent of the event that A wins any other set. Let x equal the total number of sets in the match; that is, x = 3, 4, or 5. (a) Find p(x). x 3 4 5...
Two tennis professionals, A and B, are scheduled to play a match; the winner is the...
Two tennis professionals, A and B, are scheduled to play a match; the winner is the first player to win three sets in a total that cannot exceed five sets. The event that A wins any one set is P(A) = 0.7, and is independent of the event that A wins any other set. Let x equal the total number of sets in the match; that is, x = 3, 4, or 5. (a) Find p(x). x 3 4 5...
Two players play each other in a pool tournament of "Solids and Stripes". The first player...
Two players play each other in a pool tournament of "Solids and Stripes". The first player to win two games wins the tournament. In the game of "Solids and Stripes", it is equally likely that a player will be assigned solid balls or striped balls. Assume that 1) one-half of the balls are solids and the other half are stripes, 2) the two players have the same skill: each with a 0.5 probability of winning, 3) there are no ties,...
In the Powerball® lottery, the player chooses five numbers from a set of 69 numbers without...
In the Powerball® lottery, the player chooses five numbers from a set of 69 numbers without replacement and one “Powerball” number from a set 26 numbers. The five regular numbers are always displayed and read off in ascending order, so order does not matter. A player wins the jackpot if all six of the player’s numbers match the six winning numbers. a. How many different possible ways are there to select the six numbers? b. How many tickets would someone...
. In a tennis serve, a player has two opportunities to put the ball into the...
. In a tennis serve, a player has two opportunities to put the ball into the game. If the player fails, the two consecutive attempts the player lose the point. Rafael Nadal is playing in a single point for Roland-Garros Championship. He has won the coin toss and elected to serve. If he tries a hard serve (independently if it is the first or second attempt), his probability of getting the serve into play is 0.55. Given that the hard...
A carnival game gives players a 10​% chance of winning every time it is played. A...
A carnival game gives players a 10​% chance of winning every time it is played. A player plays the game 10 times. A. Let X be the number of times the player wins in 10 plays. What is the most probable value of​ X?  B. what is the probability that the player will win at least once?
A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and...
A player in the Powerball lottery picks five different integers between 1 and 69, inclusive, and a sixth integer between 1 and 26, which may duplicate one of the earlier five integers. The player wins the jackpot if all six numbers match the numbers drawn. a) What is the probability that a player wins the jackpot? b) What is the probability that a player wins $1,000,000, which is the prize for matching the first five numbers, but not the sixth...
Hi. I would like to have a more detailed explanation to this problem... Thanks! In a...
Hi. I would like to have a more detailed explanation to this problem... Thanks! In a tennis match, a player must win three of five sets to win the match. If a player wins the first two sets, what is the probability that the player will win the match, assuming that each player is equally likely to win each set?
There is a game with two players. Both players place $1 in the pot to play....
There is a game with two players. Both players place $1 in the pot to play. There are seven rounds and each round a fair coin is flipped. If the coin is heads, Player 1 wins the round. Otherwise, if it is tails, Player 2 wins the round. Whichever player wins four rounds first gets the $2 in the pot. After four rounds, Player 1 has won 3 rounds and Player 2 has won 1 round, but they cannot finish...
A tennis player has two chances to get a serve into play. If the first serve...
A tennis player has two chances to get a serve into play. If the first serve is out, the player serves again. If the second serve is also out, the player loses a point. Here are the probabilities based on four years of Wimbledon Championship: P(1st serve in) = 0.59, P(win a point|1st serve in) = 0.71, P(2nd serve in|1st serve out) = 0.86, P(win a point|1st serve out and 2nd serve in) = 0.59. a. Draw an accurate, properly...