Acard is drawn at random from a standard deck of 52 playing cards. what is the probability that the card is either a king or a heart?

Let’s count it.

I’m assuming that you have a regular deck of cards and that means 13 hearts and 13 kings.

You can pick any card of 52 with equal probability 1/52 for each.

So there are 52 opportunities of 1/52 probability to take any card from deck.

But you are looking only for 13 of hearts and for 13 of kings. That means your chance is (13 + 13) / 52 = 1/2  :)

7/26

Step-by-step explanation:

Note that a card cannot be both a spade and a King of hearts, so these are mutually exclusive events. Therefore, the probability of one event or the other is the sum of the probabilities. The probability of getting a spade is 13/52, because there are 13 of these. Similarly, the probability of getting a King of hearts is 1/52. Adding the probabilities, we find that

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.