There were 6 purple socks and 4 oraange socks without looking and then another without looking (or replacing the first). what is the probability that he picked 2 purpled socks?

The probability that he picked 2 purpled socks is 0.33.

Step-by-step explanation:

Given:

Number of purple socks,

Number of orange socks,

Two socks are picked without replacement.

Now, total number of socks,

Probability of picking the first cap as purple cap is given as:

Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.

Therefore, probability of picking the second cap as purple cap is given as:

Now, probability that both the picked caps are purple is given by their probability product. This gives,

Therefore, the probability that he picked 2 purpled socks is 0.33

congruent segments

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.