Acard is drawn from a deck of 52 cards. match the correct fraction with its corresponding probability. 1. p(a diamond or a heart): 2. p(a club or an ace):

1. 1/2

2. 4/13

Step-by-step explanation:

Cards in a standard deck  = 52

Cards of diamond = 13

Cards of heart = 13

Cards of club = 13

Cards of Ace = 4

One card is drawn from a deck of 52 cards.

1. probability of picking diamond or a heart = 13 + 13 = 26

p = =

2. probability of picking a club or an ace = 13 + 3 = 16

(Do not forget that one ace is taken in total of club cards)

p = =

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.