Three people are trying to win the following game as a team: each of them is put on a hat of either red or blue with i. i.d probability of 1/2. (i. e. equal chance of being red and blue, and what's put on one person doesn't affect what are on the other people.) each one can only see the other people's hats, but not his own. he has to guess the color of his own hat by writing down either "red", "blue", or "don't know". after all three people write down their guesses, they would win if:
1. at least one of them guessed right, and
2. none of them guessed wrong. note: "guessed right" is defined as guessing a color that is the color of the hat. "guessed wrong" is defined as guessing a color that is not the color of the hat. it's neither "right" nor "wrong" if "don't know" is guessed.
those three people can discuss a strategy before the hats are put on their heads. after the hats are on, they can't communicate to each other including seeing other's guess. what strategy would give them the best chance of winning and what's the probability of winning under that strategy?

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

(x+3)(x+7)

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation:

one day the were 5 ducks, and their king told them to multiply their kingdom. so each went their own seperate way and met 4 other ducks on their journey.

when the ducks returned to their kingdom, it was discovered that there were 5 groups of 5 ducks. when the kind counted the number of ducks in total (including the ones he sent out earlier) he counted 25.

therefore 5 times 5 is 25.

the end. : )