Abasket contains 11 pieces of fruit, 4 apples, 5 oranges, and 2 bananas. jonas takes a piece of fruit at random from the basket, and then beth takes a piece at random. what is the probability that jonas will get an orange and beth will get an apple?

The probability that Jonas will get an orange and Beth will get an apple is:

A basket contains 11 pieces of fruit, 4 apples, 5 oranges, and 2 bananas.

Let A denote the event of Jonas getting an orange.

and B denote the event of Beth getting an apple.

Let P denote the probability of an event.

Hence,

( Since there are 5 oranges out of a total of 11 oranges )

Also,

( Since after removing one orange there will be one less fruit i.e. there will be total 10 pieces of fruit left out of which 4 are apple)

Hence, The required probability is:

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