A box contains 6 red pencils and 8 blue-pencils. A pencil is chosen at random and not replaced. A second pencil is then chosen at random. Calculate the probability that at least one
of the pencils is red

There are 14 pencils and 8 are blue

The probability of picking blue in the first pick = 8/14 =4/7.

The probability of picking blue in the second pick = 7/13 (as no replacement was there).

There are 14pencils and 6 are red.

The probability of picking red in the first pick = 6/14 =3/7

The probability of picking red in the second pick = 5/13. (as no replacement was there).

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

what are you trying to solve here

step-by-step explanation: