How to use replacement in probability

Step-by-step explanation:

Replacement means the probability of each trial is the same (the trials are independent).

For example, let's say you have a standard deck of 52 cards, and you want to find the probability of drawing a queen card twice.

There are 4 queens, so the probability on the first draw is 4/52.

You then replace the queen, so there are still 4 queens in the deck.  So the probability on the second draw is still 4/52.

The total probability is the product: 4/52 × 4/52 = 1/169

If you didn't replace the queen after the first draw, there would have been 3 queens in the deck, and the probability on the second draw would have been 3/52.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c