FIRST QUESTION:

A SOCK DRAWER HAS 2 BLUE PAIR,4 WHITE PAIR, 4 BLACK PAIR. WHAT IS THE PROBABILITY YOU WILL PICK OUT A WHITE PAIR OR A BLUE PAIR. YOU REPLACE EACH PAIR AFTER YOU PICK.

SECOND QUESTION:
WHAT IS THE PROBABILITY YOU CAAN PICK OUT 1 BLUE, 1 WHITE, OR 1 BLACK. YOU REPLACE EACH PAIR AFTER PICKING.

white pair = 4/10 = .4

blue pair = 2/10 = .2
sum = .6 for either or

p blue = .2
p not blue = .8
so p one and only one blue in three picks
= .2 * .8 * .8

do similar for white and black and multiply

To solve both questions, we'll need to use the concept of probability.

Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In these questions, the favorable outcomes represent the number of ways we can pick out a specific pair of socks, and the total number of possible outcomes represents the total number of pairs of socks in the drawer.

Let's start with the first question:

1. Probability of picking out a white pair or a blue pair:

The total number of pairs of socks in the drawer is:
2 (blue pair) + 4 (white pair) + 4 (black pair) = 10 pairs

The number of favorable outcomes for picking out a white pair is 4 (the number of white pairs of socks in the drawer), and the number of favorable outcomes for picking out a blue pair is 2 (the number of blue pairs of socks in the drawer).

Therefore, the probability of picking out a white pair or a blue pair is:
(4 + 2) / 10 = 6 / 10 = 0.6 or 60%

Now, let's move on to the second question:

2. Probability of picking out 1 blue, 1 white, or 1 black pair:

The total number of pairs of socks in the drawer remains the same, which is 10 pairs.

To calculate the probability, we need to consider the favorable outcomes for each color.

The number of favorable outcomes for picking out a blue pair is 2 (the number of blue pairs of socks in the drawer).
The number of favorable outcomes for picking out a white pair is 4 (the number of white pairs of socks in the drawer).
The number of favorable outcomes for picking out a black pair is 4 (the number of black pairs of socks in the drawer).

Therefore, the total number of favorable outcomes for picking out 1 blue, 1 white, or 1 black pair is:
2 (blue) + 4 (white) + 4 (black) = 10 favorable outcomes.

Since the total number of pairs of socks in the drawer is 10, the probability of picking out 1 blue, 1 white, or 1 black pair is:
10 / 10 = 1 or 100%.

So, the probability of picking out 1 blue, 1 white, or 1 black pair is 1 or 100%.