# math

posted by .

two teams meet in playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home staduim. The first two games of the series will be played in Team A's home stadium the next two games in Tean B's home stadium. In the adsence of any other information, which expression is equal to the probability that Team A will win the first four games in a row?

• math -

a solid cube of a aluminum has sides 9cm long. A metallurgist would like to melt the cube down and use all the molten aluminum to make three smaller, solid congruent cubes. What should the lentgh, in centimeters, of a side of one of the smaller cubes?

• math -

a box contains 5 red and 4 blue balls. In how manys ways can 4 balls be chosen such that there are at most 3 balls of each colour.

• math -

Michelle, please do not piggy-back questions on your own posts. It may slow down responses to your questions because not all tutors are ready to attack all the problems in one breath.

1.
Assuming the statistics are independent of the visiting team, then probability of team A winning in home turf is P(A)=55/81, and winning as a visitor of team B is P(B)=(81-48)/81=33/81.
So winning all four games,
P = P(A)*P(A)*P(B)*P(B)

2.
Total volume = 9³ cm³ = 729 cm³.
Side of each of 3 new cubes
= cube root of (729 cm³ /3) cm
= cube root of (243) cm.

3.
Total number of ways to pick 4 balls out of 9
= C(9,4) = 9!/(4!5!)=126
Total number of ways to pick 4 blue balls = C(4,4) = 1
total number of ways to pick 4 red balls
= C(5,4) = 5

Number of ways of not choosing 4 red nor 4 blue = (126 - 1 - 5) = 120

Probability of not choosing 4 balls of the same colour is therefore ...?

• math -

Cuts of beef/High fat/Low fat/ total
Flank steaks/ 74 / 386 / 460
Rump roasts/ 258 / 142 / 400
Total /332 /528 / 860

A USDA inspector is grading cuts of beef at a meat packing plant. If a piece of beef is selected at random, what is the probability that it will be a flank with high fat content?

• math -

Flank with high fat = 74 pieces
Total number of pieces = 860
So P(Flank HF) = 74/?

• math -

74/860=.0860

## Similar Questions

1. ### math

A basketball team has won 50 games of 75 played. The team still has 45 games to play. How many of the remaining games must the team win in order to win 60% of all games played during the season?
2. ### math

two teams meet in playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home staduim. The first two games of the …
3. ### Math

A team has won 60% of the games it has played so far. If the team wins the 15 remaining games in the season, it will have won 80% of the season's games. How many games will the team play over the entire season?
4. ### 3rd grage math

there are 6 teams in the youth basketball league. during the season, each team plays 15 games.how many total quarters of basketball are played in all of the teams games during the season.
5. ### maths

A baseball team won 50 of the first 92 games played in a season. If the season consists of 152 games, how many more game must the team win to finish the season winning 62 1/2% of games played?
6. ### Math

A soccer team won two of its first twelve games.The team ended the season winning exactly half of the games it played.What is the fewest number of games the team could have played
7. ### Percentages

A team has won 60 percent of the games it has played so far. If the team wins the 15 remaining games in the season, it will have won 80 percent of the season's games. How many games will the team play over the entire season?
8. ### Math

In the 2001-2002 regular season NBA team Sacramento won two games less than three times that perdio.este team played a total of 82 games in the regular season . how many games won and lost equipment sacrament during the season 2001-2002
9. ### Math

a basketball team won 60% of the first 70 games it played. there are 40 games still to be played in the season. How many of the remaining games must the team win in order to end the season with a 70% win record?
10. ### Math

A baseball team won 50 of the first 92 games played in a season. If the season consists of 152 games, how many more games must the team win to finish the season winning 62 1/2% of games played?

More Similar Questions